Atkin-Lehner |
2- 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22620d |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2442960 = 24 · 34 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625,-5810] |
[a1,a2,a3,a4,a6] |
j |
1690201440256/152685 |
j-invariant |
L |
1.909431177757 |
L(r)(E,1)/r! |
Ω |
0.95471558887852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bz1 67860h1 113100r1 |
Quadratic twists by: -4 -3 5 |