Atkin-Lehner |
2+ 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50616b |
Isogeny class |
Conductor |
50616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
9446160384 = 211 · 38 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-8642] |
[a1,a2,a3,a4,a6] |
j |
48275138/6327 |
j-invariant |
L |
1.7748630297823 |
L(r)(E,1)/r! |
Ω |
0.88743151516247 |
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 |
101232g1 16872c1 |
Quadratic twists by: -4 -3 |