Atkin-Lehner |
2+ 3- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832d |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4952669184 = -1 · 210 · 34 · 292 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672,-7740] |
[a1,a2,a3,a4,a6] |
Generators |
[48:270:1] |
Generators of the group modulo torsion |
j |
-32822955652/4836591 |
j-invariant |
L |
8.7862145476151 |
L(r)(E,1)/r! |
Ω |
0.46499544889018 |
Real period |
R |
2.3619087455961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49416b1 |
Quadratic twists by: -4 |