Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850u |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
189584000000 = 210 · 56 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5905,-171903] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:56:1] |
Generators of the group modulo torsion |
j |
1457117049753/12133376 |
j-invariant |
L |
9.0649540537204 |
L(r)(E,1)/r! |
Ω |
0.5449020723295 |
Real period |
R |
0.83179662126878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394b1 |
Quadratic twists by: 5 |