Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bc |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83865600 |
Modular degree for the optimal curve |
Δ |
-8.0932601505597E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1804324321,-29502438037379] |
[a1,a2,a3,a4,a6] |
Generators |
[71416403379141902351015333625118368598186260724548030712459926659466939216326256456951948932279883012969717460188925841627203267860803066174272817759078982615234831708:32822914507955544560668939660017387778716182654158255121580065847511584350844860658961754698976659811062760929520428107013425075666063845475771718352401503543797607511481:324558675789013018898850278084205532046338510520018744806547780772273145557752377509388429419497202815011468061747283127673795271446875766488811242389789875257681] |
Generators of the group modulo torsion |
j |
-21569462179645467300176896/2687170946044921875 |
j-invariant |
L |
5.9854102604355 |
L(r)(E,1)/r! |
Ω |
0.011582109382767 |
Real period |
R |
258.39033558694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680r1 18480bi1 |
Quadratic twists by: -4 -7 |