Atkin-Lehner |
2- 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420l |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
105533565046549200 = 24 · 316 · 52 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-446165,-113786400] |
[a1,a2,a3,a4,a6] |
j |
613890903731775471616/6595847815409325 |
j-invariant |
L |
2.9575185528838 |
L(r)(E,1)/r! |
Ω |
0.18484490955523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680bt1 73260p1 122100c1 |
Quadratic twists by: -4 -3 5 |