Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700m |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
11732500000000 = 28 · 510 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25000,1512500] |
[a1,a2,a3,a4,a6] |
j |
691200000/4693 |
j-invariant |
L |
5.7526536678177 |
L(r)(E,1)/r! |
Ω |
0.71908170847721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800bz1 24700p1 |
Quadratic twists by: -4 5 |