Atkin-Lehner |
3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7137a |
Isogeny class |
Conductor |
7137 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-21411 = -1 · 33 · 13 · 61 |
Discriminant |
Eigenvalues |
2 3+ 1 -1 2 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[18:23:8] |
Generators of the group modulo torsion |
j |
110592/793 |
j-invariant |
L |
8.1864080682484 |
L(r)(E,1)/r! |
Ω |
1.9042741361004 |
Real period |
R |
2.1494825542852 |
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 |
114192v1 7137c1 92781e1 |
Quadratic twists by: -4 -3 13 |