Atkin-Lehner |
2- 3+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101802g |
Isogeny class |
Conductor |
101802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
36067837788 = 22 · 312 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-853,-3265] |
[a1,a2,a3,a4,a6] |
Generators |
[-940:5541:64] |
Generators of the group modulo torsion |
j |
190149603625/99910908 |
j-invariant |
L |
11.099741118963 |
L(r)(E,1)/r! |
Ω |
0.93668764371728 |
Real period |
R |
2.9624980085205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101802b1 |
Quadratic twists by: -19 |