Atkin-Lehner |
2+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
14008a |
Isogeny class |
Conductor |
14008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-30481408 = -1 · 210 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,-266] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1568:1] |
Generators of the group modulo torsion |
j |
-143748/29767 |
j-invariant |
L |
3.6297346906884 |
L(r)(E,1)/r! |
Ω |
0.93174167890062 |
Real period |
R |
3.895644869049 |
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 |
28016c1 112064h1 126072p1 |
Quadratic twists by: -4 8 -3 |