Atkin-Lehner |
2+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18544d |
Isogeny class |
Conductor |
18544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-1131184 = -1 · 24 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14,55] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:966:125] |
Generators of the group modulo torsion |
j |
-18966528/70699 |
j-invariant |
L |
6.2474513856088 |
L(r)(E,1)/r! |
Ω |
2.4028101899703 |
Real period |
R |
5.2001206018574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9272b1 74176j1 |
Quadratic twists by: -4 8 |