Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850j |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-589062500 = -1 · 22 · 58 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- -1 2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-367,3041] |
[a1,a2,a3,a4,a6] |
j |
-14016105/1508 |
j-invariant |
L |
3.1787992583255 |
L(r)(E,1)/r! |
Ω |
1.5893996291627 |
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 |
18850w1 |
Quadratic twists by: 5 |