Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480l |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1318761000000 = 26 · 39 · 56 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6177,-178504] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:90:1] |
Generators of the group modulo torsion |
j |
558661848256/28265625 |
j-invariant |
L |
8.8425587530416 |
L(r)(E,1)/r! |
Ω |
0.540216604313 |
Real period |
R |
2.7280905052501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480s1 32160l1 |
Quadratic twists by: -4 -3 |