Atkin-Lehner |
2- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112148b |
Isogeny class |
Conductor |
112148 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
149688 |
Modular degree for the optimal curve |
Δ |
-2008550941952 = -1 · 28 · 236 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 2 -2 -7 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2292,-79448] |
[a1,a2,a3,a4,a6] |
Generators |
[618:15302:1] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
5.4532191661343 |
L(r)(E,1)/r! |
Ω |
0.32743892740166 |
Real period |
R |
5.5513855277041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
212a1 |
Quadratic twists by: -23 |