Atkin-Lehner |
2- 13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328i |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-270659584 = -1 · 212 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61,770] |
[a1,a2,a3,a4,a6] |
Generators |
[2:30:1] |
Generators of the group modulo torsion |
j |
6128487/66079 |
j-invariant |
L |
6.9571362047292 |
L(r)(E,1)/r! |
Ω |
1.2820801406677 |
Real period |
R |
2.7132220456799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5083a1 |
Quadratic twists by: -4 |