Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432v |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3704531712 = -1 · 28 · 3 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653,7281] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:98:1] |
Generators of the group modulo torsion |
j |
-1024000/123 |
j-invariant |
L |
5.8751395148485 |
L(r)(E,1)/r! |
Ω |
1.3600381091713 |
Real period |
R |
1.0799586197194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108e1 1968n1 |
Quadratic twists by: -4 -7 |