Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488f |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-1686185932288 = -1 · 29 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -2 0 2 11+ 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2232,-46760] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2534:1] |
Generators of the group modulo torsion |
j |
14205451000/19487171 |
j-invariant |
L |
4.1603166298927 |
L(r)(E,1)/r! |
Ω |
0.44742054181316 |
Real period |
R |
4.6492239861859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488j1 118976dc1 59488x1 |
Quadratic twists by: -4 8 13 |