Atkin-Lehner |
2- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14110h |
Isogeny class |
Conductor |
14110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-18060800 = -1 · 29 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39,185] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] |
Generators of the group modulo torsion |
j |
6549699311/18060800 |
j-invariant |
L |
8.2510129854356 |
L(r)(E,1)/r! |
Ω |
1.5316674332511 |
Real period |
R |
0.29927489502666 |
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 |
112880j1 126990be1 70550e1 |
Quadratic twists by: -4 -3 5 |