Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cw |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-729120 = -1 · 25 · 3 · 5 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
-2401/14880 |
j-invariant |
L |
10.396624675519 |
L(r)(E,1)/r! |
Ω |
2.284454163538 |
Real period |
R |
0.91020645907079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570bx1 |
Quadratic twists by: -7 |