Atkin-Lehner |
7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
67963h |
Isogeny class |
Conductor |
67963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-55970452909 = -1 · 79 · 19 · 73 |
Discriminant |
Eigenvalues |
1 0 3 7- 1 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,922,-3907] |
[a1,a2,a3,a4,a6] |
j |
2146689/1387 |
j-invariant |
L |
5.109662554072 |
L(r)(E,1)/r! |
Ω |
0.63870781813697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67963e1 |
Quadratic twists by: -7 |