Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bf |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
6294121761266496 = 26 · 311 · 176 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52329,-2580500] |
[a1,a2,a3,a4,a6] |
j |
339659304787648/134904873141 |
j-invariant |
L |
0.65327618232072 |
L(r)(E,1)/r! |
Ω |
0.32663847272995 |
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 |
112608g1 37536j1 |
Quadratic twists by: -4 -3 |