Atkin-Lehner |
3- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17613f |
Isogeny class |
Conductor |
17613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-107123093811 = -1 · 312 · 19 · 1032 |
Discriminant |
Eigenvalues |
2 3- 1 -1 1 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7707,-260897] |
[a1,a2,a3,a4,a6] |
Generators |
[1769032:103950331:512] |
Generators of the group modulo torsion |
j |
-69446803492864/146945259 |
j-invariant |
L |
10.193281102369 |
L(r)(E,1)/r! |
Ω |
0.25473766082756 |
Real period |
R |
10.00370446723 |
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 |
5871c1 |
Quadratic twists by: -3 |