Atkin-Lehner |
2- 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
15642j |
Isogeny class |
Conductor |
15642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
111496176 = 24 · 36 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,-237] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
338608873/152944 |
j-invariant |
L |
8.2220181506845 |
L(r)(E,1)/r! |
Ω |
1.4732318948678 |
Real period |
R |
0.69761744394474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136o1 1738a1 |
Quadratic twists by: -4 -3 |