Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304p |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4485123954432 = -1 · 28 · 316 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,-105374] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1440:1] |
Generators of the group modulo torsion |
j |
-2885794000/24032943 |
j-invariant |
L |
5.2614465880468 |
L(r)(E,1)/r! |
Ω |
0.32706008536058 |
Real period |
R |
4.021773692016 |
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 |
58608c1 9768i1 |
Quadratic twists by: -4 -3 |