Atkin-Lehner |
2+ 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322d |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-14196424704 = -1 · 214 · 3 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4712,-125002] |
[a1,a2,a3,a4,a6] |
Generators |
[759681:24091667:729] |
Generators of the group modulo torsion |
j |
-11566635758883577/14196424704 |
j-invariant |
L |
5.1598165824847 |
L(r)(E,1)/r! |
Ω |
0.28810269627352 |
Real period |
R |
8.9548217514529 |
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 |
114576bm1 42966bc1 100254g1 |
Quadratic twists by: -4 -3 -7 |