Atkin-Lehner |
11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
7139d |
Isogeny class |
Conductor |
7139 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264 |
Modular degree for the optimal curve |
Δ |
-7139 = -1 · 112 · 59 |
Discriminant |
Eigenvalues |
0 1 2 -3 11- -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7,6] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
-360448/59 |
j-invariant |
L |
4.017174338896 |
L(r)(E,1)/r! |
Ω |
4.0400939558479 |
Real period |
R |
0.99432695942163 |
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 |
114224k1 64251l1 7139c1 |
Quadratic twists by: -4 -3 -11 |