Atkin-Lehner |
2+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24656b |
Isogeny class |
Conductor |
24656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-7083570176 = -1 · 210 · 23 · 673 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 2 4 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10120,388516] |
[a1,a2,a3,a4,a6] |
j |
-111945903743524/6917549 |
j-invariant |
L |
2.5150386063575 |
L(r)(E,1)/r! |
Ω |
1.2575193031788 |
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 |
12328a1 98624p1 |
Quadratic twists by: -4 8 |