Atkin-Lehner |
2+ 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886i |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-53135877198096 = -1 · 24 · 32 · 78 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -5 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1234,350596] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:278:1] [4:-590:1] |
Generators of the group modulo torsion |
j |
-1719624451633/439139480976 |
j-invariant |
L |
6.0217048072396 |
L(r)(E,1)/r! |
Ω |
0.51364868908373 |
Real period |
R |
0.18317799623066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886bd1 |
Quadratic twists by: -11 |