Atkin-Lehner |
3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bo |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
7723545503625 = 37 · 53 · 75 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47885,4042892] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:1411:1] [-51:2545:1] |
Generators of the group modulo torsion |
j |
133252738593533/84757701 |
j-invariant |
L |
6.9898349536951 |
L(r)(E,1)/r! |
Ω |
0.73288295832803 |
Real period |
R |
0.95374505223058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525bd1 64575bj1 |
Quadratic twists by: -3 5 |