Atkin-Lehner |
2- 3- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bj |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
31 |
Product of Tamagawa factors cp |
deg |
11874240 |
Modular degree for the optimal curve |
Δ |
-4.3993998797223E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32801798,124155053461] |
[a1,a2,a3,a4,a6] |
Generators |
[-5047:403931:1] |
Generators of the group modulo torsion |
j |
-5354132577145462444295961/6034842084667094466560 |
j-invariant |
L |
8.4752295846962 |
L(r)(E,1)/r! |
Ω |
0.070400669449451 |
Real period |
R |
3.8834077128348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890e1 |
Quadratic twists by: -3 |