Atkin-Lehner |
3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7581d |
Isogeny class |
Conductor |
7581 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
9074457 = 33 · 72 · 193 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [-1:11:1] |
Generators of the group modulo torsion |
j |
2685619/1323 |
j-invariant |
L |
3.4939499906835 |
L(r)(E,1)/r! |
Ω |
2.0507369099836 |
Real period |
R |
0.5679178012669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296cd1 22743k1 53067e1 7581a1 |
Quadratic twists by: -4 -3 -7 -19 |