Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26508a |
Isogeny class |
Conductor |
26508 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
31516011077762304 = 28 · 35 · 477 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -3 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488925,131472153] |
[a1,a2,a3,a4,a6] |
Generators |
[5674:94987:8] |
Generators of the group modulo torsion |
j |
4684079104/11421 |
j-invariant |
L |
4.3619915399216 |
L(r)(E,1)/r! |
Ω |
0.37137800197402 |
Real period |
R |
2.9363556246842 |
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 |
106032bf1 79524h1 564a1 |
Quadratic twists by: -4 -3 -47 |