Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794j |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
4941379884364 = 22 · 79 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 11+ 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76367,8090377] |
[a1,a2,a3,a4,a6] |
Generators |
[167:88:1] |
Generators of the group modulo torsion |
j |
1220583312703/122452 |
j-invariant |
L |
3.0083870299843 |
L(r)(E,1)/r! |
Ω |
0.73658025526117 |
Real period |
R |
1.0210655962118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24794h1 |
Quadratic twists by: -7 |