Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475i |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-76293538234375 = -1 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4262,-404594] |
[a1,a2,a3,a4,a6] |
Generators |
[181560:14799694:27] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
4.5197599990531 |
L(r)(E,1)/r! |
Ω |
0.30285250256612 |
Real period |
R |
7.4619822533352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275dg1 539c1 1925f1 |
Quadratic twists by: -3 5 -7 |