Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886s |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-21429056376352548 = -1 · 22 · 39 · 75 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1312,7042946] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1535:1] [-188:902:1] |
Generators of the group modulo torsion |
j |
-187443868067/16099967224908 |
j-invariant |
L |
9.5290329128516 |
L(r)(E,1)/r! |
Ω |
0.30494286050657 |
Real period |
R |
0.057867750076842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886bj1 |
Quadratic twists by: -11 |