Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475br |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-843763921875 = -1 · 33 · 56 · 76 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,817,43544] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:73:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
5.2932614993561 |
L(r)(E,1)/r! |
Ω |
0.66012541715738 |
Real period |
R |
1.3364282407349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499d1 1275a1 |
Quadratic twists by: 5 -7 |