Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14350d |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
344543500000 = 25 · 56 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4376,107398] |
[a1,a2,a3,a4,a6] |
j |
592915705201/22050784 |
j-invariant |
L |
0.95240872246651 |
L(r)(E,1)/r! |
Ω |
0.95240872246651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800ca1 129150co1 574j1 100450j1 |
Quadratic twists by: -4 -3 5 -7 |