Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
80444d |
Isogeny class |
Conductor |
80444 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
497787472 = 24 · 72 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61360,5850273] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:3315:1] [142:21:1] |
Generators of the group modulo torsion |
j |
726824779776000/14161 |
j-invariant |
L |
10.449217272645 |
L(r)(E,1)/r! |
Ω |
1.1906034182168 |
Real period |
R |
1.4627340938736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80444h1 |
Quadratic twists by: 13 |