Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480w |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
1318761000000 = 26 · 39 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3537,59184] |
[a1,a2,a3,a4,a6] |
j |
3884701248/1046875 |
j-invariant |
L |
4.8073169806823 |
L(r)(E,1)/r! |
Ω |
0.80121947815822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480v1 96480b1 |
Quadratic twists by: -4 -3 |