Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6230d |
Isogeny class |
Conductor |
6230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
174440000 = 26 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-158,-432] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
432252699481/174440000 |
j-invariant |
L |
1.971977437298 |
L(r)(E,1)/r! |
Ω |
1.3957156840686 |
Real period |
R |
0.35321976026479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49840v1 56070t1 31150x1 43610f1 |
Quadratic twists by: -4 -3 5 -7 |