Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040s |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
2709780480 = 211 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5320,151120] |
[a1,a2,a3,a4,a6] |
Generators |
[42:2:1] |
Generators of the group modulo torsion |
j |
67208610722/10935 |
j-invariant |
L |
4.544992902542 |
L(r)(E,1)/r! |
Ω |
1.3906958312284 |
Real period |
R |
1.6340715203437 |
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 |
14520x1 116160hz1 87120bf1 29040r1 |
Quadratic twists by: -4 8 -3 -11 |