Atkin-Lehner |
2+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24656a |
Isogeny class |
Conductor |
24656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-1577984 = -1 · 210 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 6 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,68] |
[a1,a2,a3,a4,a6] |
j |
-1556068/1541 |
j-invariant |
L |
4.8705083206598 |
L(r)(E,1)/r! |
Ω |
2.43525416033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12328b1 98624j1 |
Quadratic twists by: -4 8 |