Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952q |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1496252416 = 216 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 1 3 -3 0 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-609,5279] |
[a1,a2,a3,a4,a6] |
Generators |
[10:17:1] |
Generators of the group modulo torsion |
j |
381775972/22831 |
j-invariant |
L |
7.9680499271091 |
L(r)(E,1)/r! |
Ω |
1.4856637454322 |
Real period |
R |
1.3408232433116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952a1 21488a1 |
Quadratic twists by: -4 8 |