Atkin-Lehner |
2+ 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934u |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-207603716518224 = -1 · 24 · 37 · 135 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 2 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3510,-696956] |
[a1,a2,a3,a4,a6] |
Generators |
[104:182:1] [195:-2548:1] |
Generators of the group modulo torsion |
j |
-6561258219361/284778760656 |
j-invariant |
L |
9.0987881918985 |
L(r)(E,1)/r! |
Ω |
0.24628419516694 |
Real period |
R |
0.46180329345518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978n1 |
Quadratic twists by: -3 |