Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312s |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-39124467712 = -1 · 226 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 0 2 0 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,436,8848] |
[a1,a2,a3,a4,a6] |
j |
34965783/149248 |
j-invariant |
L |
0.82249903091569 |
L(r)(E,1)/r! |
Ω |
0.82249903088609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37312l1 9328m1 |
Quadratic twists by: -4 8 |