Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19665d |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-11746383834375 = -1 · 39 · 55 · 192 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2175,170000] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3454:1] |
Generators of the group modulo torsion |
j |
-57825915363/596778125 |
j-invariant |
L |
5.0184740194294 |
L(r)(E,1)/r! |
Ω |
0.60954921333366 |
Real period |
R |
4.1165453991673 |
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 |
19665i1 98325f1 |
Quadratic twists by: -3 5 |