Atkin-Lehner |
2- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646z |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-11846548360822784 = -1 · 215 · 79 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-102264,-13641664] |
[a1,a2,a3,a4,a6] |
j |
-2930960362231/293568512 |
j-invariant |
L |
7.9640030764592 |
L(r)(E,1)/r! |
Ω |
0.13273338464587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646bd1 |
Quadratic twists by: -7 |