Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29900m |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
149500000000 = 28 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- 3 0 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375,-6250] |
[a1,a2,a3,a4,a6] |
j |
574992/299 |
j-invariant |
L |
6.6401244682789 |
L(r)(E,1)/r! |
Ω |
0.83001555853481 |
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 |
119600cc1 29900o1 |
Quadratic twists by: -4 5 |