Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34596j |
Isogeny class |
Conductor |
34596 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-347482224 = -1 · 24 · 36 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -4 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93,961] |
[a1,a2,a3,a4,a6] |
Generators |
[0:31:1] [8:27:1] |
Generators of the group modulo torsion |
j |
-256 |
j-invariant |
L |
7.8973998315752 |
L(r)(E,1)/r! |
Ω |
1.4889193243711 |
Real period |
R |
1.3260288355299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3844d1 34596i1 |
Quadratic twists by: -3 -31 |