Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
25560f |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-14906592000 = -1 · 28 · 38 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,-19132] |
[a1,a2,a3,a4,a6] |
j |
-1326109696/79875 |
j-invariant |
L |
1.582212177203 |
L(r)(E,1)/r! |
Ω |
0.39555304430085 |
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 |
51120b1 8520f1 127800y1 |
Quadratic twists by: -4 -3 5 |