Atkin-Lehner |
2+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34592b |
Isogeny class |
Conductor |
34592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6016 |
Modular degree for the optimal curve |
Δ |
69184 = 26 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361,2640] |
[a1,a2,a3,a4,a6] |
Generators |
[12:6:1] |
Generators of the group modulo torsion |
j |
81295282368/1081 |
j-invariant |
L |
2.1105365879623 |
L(r)(E,1)/r! |
Ω |
3.161386584786 |
Real period |
R |
1.3351967760724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34592a1 69184f1 |
Quadratic twists by: -4 8 |