Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792l |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
203046912 = 214 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:9:1] [-10:16:1] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
5.1732065131761 |
L(r)(E,1)/r! |
Ω |
1.4178722213652 |
Real period |
R |
1.8242851630864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9792br1 1224b1 1088f1 |
Quadratic twists by: -4 8 -3 |