Atkin-Lehner |
2+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030h |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-25200834560 = -1 · 211 · 5 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11+ -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77113,-8248484] |
[a1,a2,a3,a4,a6] |
Generators |
[45908:1095917:64] |
Generators of the group modulo torsion |
j |
-38099594936018771/18933760 |
j-invariant |
L |
4.3944550855173 |
L(r)(E,1)/r! |
Ω |
0.14324791878327 |
Real period |
R |
7.6693175070129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52030u1 |
Quadratic twists by: -11 |