Atkin-Lehner |
7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14399b |
Isogeny class |
Conductor |
14399 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-13228807669 = -1 · 7 · 113 · 175 |
Discriminant |
Eigenvalues |
-1 -2 -1 7- 11+ 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2681,53494] |
[a1,a2,a3,a4,a6] |
Generators |
[13:138:1] |
Generators of the group modulo torsion |
j |
-1601202365099/9938999 |
j-invariant |
L |
1.9613317997082 |
L(r)(E,1)/r! |
Ω |
1.266082542962 |
Real period |
R |
0.15491342255772 |
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 |
129591q1 100793e1 14399a1 |
Quadratic twists by: -3 -7 -11 |