Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775q |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-451171875 = -1 · 3 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8,1019] |
[a1,a2,a3,a4,a6] |
j |
-4096/28875 |
j-invariant |
L |
5.3463186557923 |
L(r)(E,1)/r! |
Ω |
1.3365796639481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400el1 17325v1 1155g1 40425q1 |
Quadratic twists by: -4 -3 5 -7 |