Atkin-Lehner |
2+ 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68150j |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
2129687500 = 22 · 58 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,-452] |
[a1,a2,a3,a4,a6] |
j |
9765625/5452 |
j-invariant |
L |
2.4134011626681 |
L(r)(E,1)/r! |
Ω |
1.2067005888458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68150s1 |
Quadratic twists by: 5 |