Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150j |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-88009925977036800 = -1 · 211 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,110350,-2111820] |
[a1,a2,a3,a4,a6] |
j |
3355354844375/1987172352 |
j-invariant |
L |
1.5924484888434 |
L(r)(E,1)/r! |
Ω |
0.19905606110542 |
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 |
54450fs1 18150di1 1650n1 |
Quadratic twists by: -3 5 -11 |