Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bb |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7159252989306150 = 2 · 39 · 52 · 192 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91343,-9792143] |
[a1,a2,a3,a4,a6] |
Generators |
[13406:532375:8] |
Generators of the group modulo torsion |
j |
4282070129694603/363727734050 |
j-invariant |
L |
9.070516527158 |
L(r)(E,1)/r! |
Ω |
0.276104929677 |
Real period |
R |
4.106462600098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570e2 |
Quadratic twists by: -3 |