Atkin-Lehner |
7+ 31+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
14539c |
Isogeny class |
Conductor |
14539 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2000 |
Modular degree for the optimal curve |
Δ |
-3154963 = -1 · 72 · 312 · 67 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 0 -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,37,12] |
[a1,a2,a3,a4,a6] |
Generators |
[4:15:1] [10:38:1] |
Generators of the group modulo torsion |
j |
5451776000/3154963 |
j-invariant |
L |
4.0870962124328 |
L(r)(E,1)/r! |
Ω |
1.5068955594426 |
Real period |
R |
0.67806560760343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101773h1 |
Quadratic twists by: -7 |