Atkin-Lehner |
2- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14288b |
Isogeny class |
Conductor |
14288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-343826432 = -1 · 213 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -1 2 -1 -4 5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472,4208] |
[a1,a2,a3,a4,a6] |
Generators |
[26:94:1] |
Generators of the group modulo torsion |
j |
-2845178713/83942 |
j-invariant |
L |
4.0913337450698 |
L(r)(E,1)/r! |
Ω |
1.700690854235 |
Real period |
R |
0.60142231830107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786a1 57152j1 128592p1 |
Quadratic twists by: -4 8 -3 |