Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
118944a |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
4995648 = 26 · 33 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45,44] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-5:12:1] |
Generators of the group modulo torsion |
j |
5832000/2891 |
j-invariant |
L |
11.335091001526 |
L(r)(E,1)/r! |
Ω |
2.1533567163085 |
Real period |
R |
2.6319584943582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944p1 118944m1 |
Quadratic twists by: -4 -3 |