Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720bg |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-47005920000 = -1 · 28 · 36 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10221,-394479] |
[a1,a2,a3,a4,a6] |
Generators |
[681:17550:1] |
Generators of the group modulo torsion |
j |
-461324374319104/183616875 |
j-invariant |
L |
5.0421086503902 |
L(r)(E,1)/r! |
Ω |
0.23740086784915 |
Real period |
R |
2.6548495219176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180c1 |
Quadratic twists by: -4 |