Atkin-Lehner |
2+ 3+ 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670i |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1299456 |
Modular degree for the optimal curve |
Δ |
56405720722500 = 22 · 39 · 54 · 293 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-645234,-199329760] |
[a1,a2,a3,a4,a6] |
j |
1509331133346620787/2865707500 |
j-invariant |
L |
2.0213975127247 |
L(r)(E,1)/r! |
Ω |
0.16844970765071 |
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 |
122670bc1 |
Quadratic twists by: -3 |