Atkin-Lehner |
2- 3- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bl |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-690271794581572224 = -1 · 27 · 36 · 72 · 192 · 535 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92993,41459793] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:7098:1] |
Generators of the group modulo torsion |
j |
-121995154391188681/946874889686656 |
j-invariant |
L |
9.2848750760991 |
L(r)(E,1)/r! |
Ω |
0.24569264360799 |
Real period |
R |
0.13496646612092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14098a1 |
Quadratic twists by: -3 |