Atkin-Lehner |
2+ 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33232d |
Isogeny class |
Conductor |
33232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5504 |
Modular degree for the optimal curve |
Δ |
-2226544 = -1 · 24 · 31 · 672 |
Discriminant |
Eigenvalues |
2+ 2 -1 1 -2 6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116,527] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
-10882188544/139159 |
j-invariant |
L |
8.1019163397098 |
L(r)(E,1)/r! |
Ω |
2.6069686506449 |
Real period |
R |
1.5538960044083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16616a1 |
Quadratic twists by: -4 |