Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842m |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-390346205312 = -1 · 27 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 1 4 7- 0 -2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1714,-12412] |
[a1,a2,a3,a4,a6] |
j |
8947391/6272 |
j-invariant |
L |
7.5046810804101 |
L(r)(E,1)/r! |
Ω |
0.53604864868758 |
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 |
7406f1 51842n1 |
Quadratic twists by: -7 -23 |