Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978v |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
8184560225741770752 = 212 · 35 · 7 · 537 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5335754,-4742416092] |
[a1,a2,a3,a4,a6] |
Generators |
[3838:175048:1] |
Generators of the group modulo torsion |
j |
757976769362233/369266688 |
j-invariant |
L |
9.7411550246268 |
L(r)(E,1)/r! |
Ω |
0.099337517638155 |
Real period |
R |
1.6343531336907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226b1 |
Quadratic twists by: 53 |