Atkin-Lehner |
2- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51262h |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
959040 |
Modular degree for the optimal curve |
Δ |
-316101879637213184 = -1 · 218 · 198 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 -2 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1170069,488195693] |
[a1,a2,a3,a4,a6] |
j |
-3765617279085033/6719012864 |
j-invariant |
L |
5.5043869808035 |
L(r)(E,1)/r! |
Ω |
0.3057992766532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2698a1 |
Quadratic twists by: -19 |