Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032m |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-45911007792 = -1 · 24 · 33 · 134 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3427,-76772] |
[a1,a2,a3,a4,a6] |
Generators |
[16905:172979:125] |
Generators of the group modulo torsion |
j |
-278274085316608/2869437987 |
j-invariant |
L |
4.9891660611217 |
L(r)(E,1)/r! |
Ω |
0.31179095669848 |
Real period |
R |
8.0008190647212 |
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 |
38064k1 57096e1 |
Quadratic twists by: -4 -3 |