Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cq |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
2050287685188624 = 24 · 34 · 77 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32194,441524] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:824:1] |
Generators of the group modulo torsion |
j |
31366144171153/17427157776 |
j-invariant |
L |
11.61115855972 |
L(r)(E,1)/r! |
Ω |
0.40307300565007 |
Real period |
R |
1.8004118312252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024288 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16422r1 |
Quadratic twists by: -7 |