Atkin-Lehner |
3- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128877o |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3708800 |
Modular degree for the optimal curve |
Δ |
829782056895462909 = 32 · 75 · 17 · 199 |
Discriminant |
Eigenvalues |
2 3- -3 7- -6 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-235492,-3815573] |
[a1,a2,a3,a4,a6] |
Generators |
[-2428:144007:64] |
Generators of the group modulo torsion |
j |
4475809792/2571471 |
j-invariant |
L |
11.550490523566 |
L(r)(E,1)/r! |
Ω |
0.23550035882381 |
Real period |
R |
2.4523297200014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999950888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128877g1 |
Quadratic twists by: -19 |