Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120n |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
1.2896837794313E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2993130,1917777900] |
[a1,a2,a3,a4,a6] |
Generators |
[710:12250:1] |
Generators of the group modulo torsion |
j |
46336222206752529502144/2015130905361328125 |
j-invariant |
L |
6.1274596890561 |
L(r)(E,1)/r! |
Ω |
0.1833476319491 |
Real period |
R |
0.47742715563617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120y1 114240iw2 |
Quadratic twists by: -4 8 |