Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856g |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-224890684928 = -1 · 29 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 5 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16280,-794444] |
[a1,a2,a3,a4,a6] |
j |
-193100552/91 |
j-invariant |
L |
1.6905633385034 |
L(r)(E,1)/r! |
Ω |
0.21132041731164 |
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 |
37856b1 75712cq1 2912d1 |
Quadratic twists by: -4 8 13 |