Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80920a |
Isogeny class |
Conductor |
80920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
539648 |
Modular degree for the optimal curve |
Δ |
-21250947468262400 = -1 · 210 · 52 · 7 · 179 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54043,8519142] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2928:1] |
Generators of the group modulo torsion |
j |
-143748/175 |
j-invariant |
L |
3.2628256111007 |
L(r)(E,1)/r! |
Ω |
0.34631970792148 |
Real period |
R |
4.7107131589148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80920f1 |
Quadratic twists by: 17 |