Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328s |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-265694736832 = -1 · 26 · 77 · 712 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-702,26048] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:4508:27] |
Generators of the group modulo torsion |
j |
-5088448/35287 |
j-invariant |
L |
12.698268611074 |
L(r)(E,1)/r! |
Ω |
0.843556466041 |
Real period |
R |
3.7633131615403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328j1 15904b1 |
Quadratic twists by: -4 -7 |