Atkin-Lehner |
2- 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31464j |
Isogeny class |
Conductor |
31464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-51231635568 = -1 · 24 · 36 · 192 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -7 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,10339] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:23:1] [-3:95:1] |
Generators of the group modulo torsion |
j |
748596992/4392287 |
j-invariant |
L |
7.5685933960408 |
L(r)(E,1)/r! |
Ω |
0.81339368264379 |
Real period |
R |
0.77541309921007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928i1 3496a1 |
Quadratic twists by: -4 -3 |