Atkin-Lehner |
2+ 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328f |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
3710243978496 = 28 · 34 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11+ -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4529,70443] |
[a1,a2,a3,a4,a6] |
Generators |
[526:11979:1] |
Generators of the group modulo torsion |
j |
40140853015552/14493140541 |
j-invariant |
L |
9.2863449240936 |
L(r)(E,1)/r! |
Ω |
0.72112521964494 |
Real period |
R |
1.6096970177888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26664a1 |
Quadratic twists by: -4 |