Atkin-Lehner |
2- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112148a |
Isogeny class |
Conductor |
112148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-2887291979056 = -1 · 24 · 237 · 53 |
Discriminant |
Eigenvalues |
2- 0 1 -2 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4232,133837] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:3703:8] |
Generators of the group modulo torsion |
j |
-3538944/1219 |
j-invariant |
L |
6.3936398318763 |
L(r)(E,1)/r! |
Ω |
0.75809767515311 |
Real period |
R |
2.1084485718766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4876b1 |
Quadratic twists by: -23 |