Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37446b |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5422560 |
Modular degree for the optimal curve |
Δ |
1.7451926475498E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -2 2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59236581,-174352035699] |
[a1,a2,a3,a4,a6] |
j |
2427855097/18432 |
j-invariant |
L |
0.9799938432948 |
L(r)(E,1)/r! |
Ω |
0.05444410240397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338s1 37446e1 |
Quadratic twists by: -3 -79 |