Atkin-Lehner |
2+ 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850c |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
146062500 = 22 · 3 · 56 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1200,-16500] |
[a1,a2,a3,a4,a6] |
Generators |
[101:901:1] |
Generators of the group modulo torsion |
j |
12246522625/9348 |
j-invariant |
L |
3.8926893865643 |
L(r)(E,1)/r! |
Ω |
0.81110490803696 |
Real period |
R |
4.7992427966762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4674f1 |
Quadratic twists by: 5 |