Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960cu |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-198574080000000 = -1 · 223 · 3 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16225,1050625] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-640:1] [0:1025:1] |
Generators of the group modulo torsion |
j |
-1802041022809/757500000 |
j-invariant |
L |
10.10903556021 |
L(r)(E,1)/r! |
Ω |
0.52948879571101 |
Real period |
R |
0.68185953545519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bo1 24240bg1 |
Quadratic twists by: -4 8 |