Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
24475f |
Isogeny class |
Conductor |
24475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-939605253223140625 = -1 · 56 · 112 · 896 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-351038,-92676683] |
[a1,a2,a3,a4,a6] |
Generators |
[807:11834:1] |
Generators of the group modulo torsion |
j |
-306172484303077657/60134736206281 |
j-invariant |
L |
2.3647991634449 |
L(r)(E,1)/r! |
Ω |
0.097040206594923 |
Real period |
R |
0.50769316108416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
979b2 |
Quadratic twists by: 5 |