Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090h |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86030661835440 = 24 · 34 · 5 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-983063,-375572763] |
[a1,a2,a3,a4,a6] |
Generators |
[-15459:8012:27] |
Generators of the group modulo torsion |
j |
893059129109889001/731248560 |
j-invariant |
L |
3.5182691670681 |
L(r)(E,1)/r! |
Ω |
0.15161919302351 |
Real period |
R |
5.8011606186952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870k4 |
Quadratic twists by: -7 |