Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320bi |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3209932800 = -1 · 212 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -1 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288005,59394675] |
[a1,a2,a3,a4,a6] |
Generators |
[310:15:1] |
Generators of the group modulo torsion |
j |
-645008376471556096/783675 |
j-invariant |
L |
5.1537746072096 |
L(r)(E,1)/r! |
Ω |
0.89990142359393 |
Real period |
R |
0.47725362579409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
645d1 41280ca1 30960bq1 51600bu1 |
Quadratic twists by: -4 8 -3 5 |