Atkin-Lehner |
2+ 3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752c |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
23832880128 = 210 · 35 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1728,27216] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:142:1] |
Generators of the group modulo torsion |
j |
557578826500/23274297 |
j-invariant |
L |
4.9912638891914 |
L(r)(E,1)/r! |
Ω |
1.1876459117132 |
Real period |
R |
2.1013265991503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376b1 |
Quadratic twists by: -4 |