Atkin-Lehner |
5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6355b |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2853031359750625 = -1 · 54 · 312 · 416 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 -2 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30771,3291818] |
[a1,a2,a3,a4,a6] |
Generators |
[2091:94279:1] |
Generators of the group modulo torsion |
j |
-3222177234641911729/2853031359750625 |
j-invariant |
L |
3.1135141976523 |
L(r)(E,1)/r! |
Ω |
0.41373970802523 |
Real period |
R |
1.2542161723341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680m2 57195x2 31775g2 |
Quadratic twists by: -4 -3 5 |