Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344di |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-52481654784 = -1 · 215 · 36 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -4 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3276,73008] |
[a1,a2,a3,a4,a6] |
Generators |
[52:208:1] |
Generators of the group modulo torsion |
j |
-74088 |
j-invariant |
L |
8.2946717710092 |
L(r)(E,1)/r! |
Ω |
1.1262702329277 |
Real period |
R |
1.8411815221864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344dj1 48672z1 10816v1 97344dm1 |
Quadratic twists by: -4 8 -3 13 |