Atkin-Lehner |
2- 3- 7- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614t |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-49209617995776 = -1 · 211 · 38 · 7 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9536,494691] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-435:1] |
Generators of the group modulo torsion |
j |
-131538296772793/67502905344 |
j-invariant |
L |
10.932756150073 |
L(r)(E,1)/r! |
Ω |
0.59092029605193 |
Real period |
R |
0.2803217666957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999450657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538d1 |
Quadratic twists by: -3 |