Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350n |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
35875000 = 23 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 4 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1005,-12003] |
[a1,a2,a3,a4,a6] |
j |
7177888089/2296 |
j-invariant |
L |
2.5440251269016 |
L(r)(E,1)/r! |
Ω |
0.84800837563387 |
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 |
114800bx1 129150z1 574e1 100450cc1 |
Quadratic twists by: -4 -3 5 -7 |