Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775u |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
198515625 = 3 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6626,207023] |
[a1,a2,a3,a4,a6] |
j |
2058561081361/12705 |
j-invariant |
L |
3.1840643783056 |
L(r)(E,1)/r! |
Ω |
1.5920321891528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400dk1 17325y1 1155e1 40425w1 |
Quadratic twists by: -4 -3 5 -7 |