Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128s |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
297984 |
Modular degree for the optimal curve |
Δ |
-1433010176 = -1 · 217 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -3 1 5 4 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-644812,199295632] |
[a1,a2,a3,a4,a6] |
Generators |
[476:464:1] |
Generators of the group modulo torsion |
j |
-226210687270871058/10933 |
j-invariant |
L |
4.4662372106252 |
L(r)(E,1)/r! |
Ω |
0.82213569644999 |
Real period |
R |
1.3581204507694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24128g1 6032b1 |
Quadratic twists by: -4 8 |