Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520l |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
2450898000 = 24 · 36 · 53 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498,-3553] |
[a1,a2,a3,a4,a6] |
Generators |
[-411:604:27] |
Generators of the group modulo torsion |
j |
1171019776/210125 |
j-invariant |
L |
5.2490954643968 |
L(r)(E,1)/r! |
Ω |
1.0230890879746 |
Real period |
R |
5.1306338090152 |
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 |
14760g1 118080fw1 3280b1 |
Quadratic twists by: -4 8 -3 |