Atkin-Lehner |
2- 37- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23384c |
Isogeny class |
Conductor |
23384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
691169680384 = 210 · 372 · 793 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 0 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4352,104476] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:316:1] [21:148:1] |
Generators of the group modulo torsion |
j |
8904103584772/674970391 |
j-invariant |
L |
5.1320115193567 |
L(r)(E,1)/r! |
Ω |
0.88621096617399 |
Real period |
R |
0.48257993066756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46768c1 |
Quadratic twists by: -4 |