Atkin-Lehner |
5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2555f |
Isogeny class |
Conductor |
2555 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1400 |
Modular degree for the optimal curve |
Δ |
-3834096875 = -1 · 55 · 75 · 73 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 6 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-253,-3377] |
[a1,a2,a3,a4,a6] |
j |
-1780800847561/3834096875 |
j-invariant |
L |
2.8054199078176 |
L(r)(E,1)/r! |
Ω |
0.56108398156352 |
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 |
40880bc1 22995e1 12775h1 17885h1 |
Quadratic twists by: -4 -3 5 -7 |