Atkin-Lehner |
2+ 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440n |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-754400000 = -1 · 28 · 55 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 4 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-300,-2500] |
[a1,a2,a3,a4,a6] |
j |
-11702923216/2946875 |
j-invariant |
L |
5.6592244297562 |
L(r)(E,1)/r! |
Ω |
0.56592244613984 |
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 |
37720n1 |
Quadratic twists by: -4 |