Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950cz |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
196034767434000000 = 27 · 318 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3582288,2609304192] |
[a1,a2,a3,a4,a6] |
Generators |
[936:-9216:1] |
Generators of the group modulo torsion |
j |
325375754708447065657/12546225115776 |
j-invariant |
L |
11.332907250072 |
L(r)(E,1)/r! |
Ω |
0.29815398275856 |
Real period |
R |
0.30166864618653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850u1 1518d1 |
Quadratic twists by: -3 5 |