Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4060d |
Isogeny class |
Conductor |
4060 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
14210000 = 24 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,117] |
[a1,a2,a3,a4,a6] |
j |
2173353984/888125 |
j-invariant |
L |
2.0178574954325 |
L(r)(E,1)/r! |
Ω |
2.0178574954325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16240l1 64960s1 36540q1 20300e1 |
Quadratic twists by: -4 8 -3 5 |