Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960bh |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1036288000000000 = -1 · 221 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11+ 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34508,2913168] |
[a1,a2,a3,a4,a6] |
j |
-17335770872841/3953125000 |
j-invariant |
L |
1.8805584463593 |
L(r)(E,1)/r! |
Ω |
0.47013962315233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960k1 20240w1 |
Quadratic twists by: -4 8 |