Atkin-Lehner |
2- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
51350p |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-428483656250 = -1 · 2 · 56 · 133 · 792 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 4 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-803838,-277463458] |
[a1,a2,a3,a4,a6] |
j |
-3676286237182512409/27422954 |
j-invariant |
L |
3.9860930005 |
L(r)(E,1)/r! |
Ω |
0.079721860013874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054a1 |
Quadratic twists by: 5 |