Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37960a |
Isogeny class |
Conductor |
37960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
4169906000 = 24 · 53 · 134 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3098,66297] |
[a1,a2,a3,a4,a6] |
Generators |
[8:205:1] |
Generators of the group modulo torsion |
j |
205517103151104/260619125 |
j-invariant |
L |
4.6285876090688 |
L(r)(E,1)/r! |
Ω |
1.3828891142878 |
Real period |
R |
3.3470417557317 |
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 |
75920a1 |
Quadratic twists by: -4 |