Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040be |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
497998552339200000 = 211 · 3 · 55 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11- 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239136,29470164] |
[a1,a2,a3,a4,a6] |
Generators |
[3162:47420:27] |
Generators of the group modulo torsion |
j |
28471058/9375 |
j-invariant |
L |
7.6796605348507 |
L(r)(E,1)/r! |
Ω |
0.27139191715308 |
Real period |
R |
7.0743268769854 |
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 |
14520bd1 116160hf1 87120cp1 29040bf1 |
Quadratic twists by: -4 8 -3 -11 |