Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150cf |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-301875000000 = -1 · 26 · 3 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2513,55017] |
[a1,a2,a3,a4,a6] |
j |
-179726425/30912 |
j-invariant |
L |
5.6033766989479 |
L(r)(E,1)/r! |
Ω |
0.93389611649132 |
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 |
72450v1 24150s1 |
Quadratic twists by: -3 5 |