Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62560i |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-3128000 = -1 · 26 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -3 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30,68] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] [1:10:1] |
Generators of the group modulo torsion |
j |
45118016/48875 |
j-invariant |
L |
11.82762202472 |
L(r)(E,1)/r! |
Ω |
1.6752051655698 |
Real period |
R |
1.1767336789385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62560h1 125120ch1 |
Quadratic twists by: -4 8 |