Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760m |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
505583738145000000 = 26 · 320 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6809997,-6840109636] |
[a1,a2,a3,a4,a6] |
Generators |
[3193:63000:1] |
Generators of the group modulo torsion |
j |
748612322643635839936/10836414140625 |
j-invariant |
L |
5.5620441747905 |
L(r)(E,1)/r! |
Ω |
0.093457293912447 |
Real period |
R |
4.2510204714464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760be1 83520bo1 13920t1 |
Quadratic twists by: -4 8 -3 |