Atkin-Lehner |
3+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997c |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2250256305087 = 32 · 77 · 192 · 292 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15901,-775046] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:599:8] [-74:94:1] |
Generators of the group modulo torsion |
j |
3779648905033/19126863 |
j-invariant |
L |
8.8806513964541 |
L(r)(E,1)/r! |
Ω |
0.42527727644801 |
Real period |
R |
2.610253324159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571h2 |
Quadratic twists by: -7 |