Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91960s |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
6190684483280 = 24 · 5 · 118 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8631,-287366] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:57:1] |
Generators of the group modulo torsion |
j |
2508888064/218405 |
j-invariant |
L |
4.6883783537322 |
L(r)(E,1)/r! |
Ω |
0.49806378093875 |
Real period |
R |
2.3533021981689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360e1 |
Quadratic twists by: -11 |