Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950cn |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1669800000000000 = 212 · 3 · 511 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106438,13211492] |
[a1,a2,a3,a4,a6] |
Generators |
[7284:-58642:27] |
Generators of the group modulo torsion |
j |
8534813931497881/106867200000 |
j-invariant |
L |
10.780197130754 |
L(r)(E,1)/r! |
Ω |
0.47482425352998 |
Real period |
R |
0.94598133332229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850by1 7590c1 |
Quadratic twists by: -3 5 |