Atkin-Lehner |
2- 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bu |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
2698659549273168 = 24 · 320 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151680,-22599601] |
[a1,a2,a3,a4,a6] |
j |
33087287197696000/231366559437 |
j-invariant |
L |
0.48403903067987 |
L(r)(E,1)/r! |
Ω |
0.24201957713025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28548e1 38064v1 |
Quadratic twists by: -4 -3 |