Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624h |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-561333142494208 = -1 · 210 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31211,-2409066] |
[a1,a2,a3,a4,a6] |
Generators |
[6208649:11073712:29791] |
Generators of the group modulo torsion |
j |
-22180932/3703 |
j-invariant |
L |
4.1201968326695 |
L(r)(E,1)/r! |
Ω |
0.17796743590315 |
Real period |
R |
11.575704318491 |
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 |
59248b1 1288a1 |
Quadratic twists by: -4 -23 |