Atkin-Lehner |
37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62197b |
Isogeny class |
Conductor |
62197 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
134640 |
Modular degree for the optimal curve |
Δ |
175753856917 = 37 · 416 |
Discriminant |
Eigenvalues |
-2 3 -2 1 5 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1681,17230] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032:4310:27] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
5.9368017195366 |
L(r)(E,1)/r! |
Ω |
0.93499939568004 |
Real period |
R |
6.349524658674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37a1 |
Quadratic twists by: 41 |