Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810ba |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-30037053480350720 = -1 · 210 · 5 · 178 · 292 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12999,8324359] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1240:1] |
Generators of the group modulo torsion |
j |
34822511/4305920 |
j-invariant |
L |
9.8159057837539 |
L(r)(E,1)/r! |
Ω |
0.28583711745478 |
Real period |
R |
0.57234844504632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bf1 |
Quadratic twists by: 17 |