Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920c |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
13128920480000 = 28 · 54 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-598316,-177933484] |
[a1,a2,a3,a4,a6] |
j |
19169739408976/10625 |
j-invariant |
L |
0.68663616133327 |
L(r)(E,1)/r! |
Ω |
0.1716591091806 |
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 |
680c1 |
Quadratic twists by: 13 |