Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850i |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2611200 |
Modular degree for the optimal curve |
Δ |
-2530004172800000000 = -1 · 234 · 58 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-261896700,-1631444126000] |
[a1,a2,a3,a4,a6] |
j |
-5085735371462945338910185/6476810682368 |
j-invariant |
L |
0.93822512001489 |
L(r)(E,1)/r! |
Ω |
0.018764502400298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18850u1 |
Quadratic twists by: 5 |