Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188d |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
57048370065633744 = 24 · 39 · 79 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121716,-11622555] |
[a1,a2,a3,a4,a6] |
Generators |
[-800656626:-8569588293:3944312] |
Generators of the group modulo torsion |
j |
5382291456/1539727 |
j-invariant |
L |
6.4333788599611 |
L(r)(E,1)/r! |
Ω |
0.26116896240743 |
Real period |
R |
12.31650734782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999548197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118188b1 16884b1 |
Quadratic twists by: -3 -7 |