Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712c |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
44050868928 = 26 · 39 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11+ -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10503,-414180] |
[a1,a2,a3,a4,a6] |
Generators |
[-5316120:100862:91125] |
Generators of the group modulo torsion |
j |
101716765632/34969 |
j-invariant |
L |
9.8617833055396 |
L(r)(E,1)/r! |
Ω |
0.47160692498933 |
Real period |
R |
10.455511571736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712n1 53856r2 107712s1 |
Quadratic twists by: -4 8 -3 |