Atkin-Lehner |
5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6355h |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3681330786775 = -1 · 52 · 31 · 416 |
Discriminant |
Eigenvalues |
1 2 5- 4 2 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2698,-73801] |
[a1,a2,a3,a4,a6] |
j |
2170691020569239/3681330786775 |
j-invariant |
L |
4.9705871808632 |
L(r)(E,1)/r! |
Ω |
0.41421559840526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680w2 57195n2 31775i2 |
Quadratic twists by: -4 -3 5 |