Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136h |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-30517193867264 = -1 · 223 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 3 3 3 2 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2804,259568] |
[a1,a2,a3,a4,a6] |
j |
9300746727/116413856 |
j-invariant |
L |
7.8106927767776 |
L(r)(E,1)/r! |
Ω |
0.4881682985486 |
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 |
19136t1 598b1 |
Quadratic twists by: -4 8 |