Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296cg |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-171057038229504 = -1 · 225 · 39 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5469,609698] |
[a1,a2,a3,a4,a6] |
j |
6058428767/57286656 |
j-invariant |
L |
3.3579041174407 |
L(r)(E,1)/r! |
Ω |
0.4197380146837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4662c1 12432bh1 |
Quadratic twists by: -4 -3 |