Atkin-Lehner |
3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323j |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-219182340663 = -1 · 37 · 112 · 134 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1467,5944] |
[a1,a2,a3,a4,a6] |
j |
478762350767/300661647 |
j-invariant |
L |
2.4727677948969 |
L(r)(E,1)/r! |
Ω |
0.61819194873769 |
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 |
12441c1 |
Quadratic twists by: -3 |