Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2288l |
Isogeny class |
Conductor |
2288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-3167617024 = -1 · 217 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 2 3 1 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104,-2704] |
[a1,a2,a3,a4,a6] |
j |
-30664297/773344 |
j-invariant |
L |
3.6879724121143 |
L(r)(E,1)/r! |
Ω |
0.61466206868572 |
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 |
286a1 9152s1 20592bk1 57200bs1 |
Quadratic twists by: -4 8 -3 5 |