Atkin-Lehner |
2+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
4646a |
Isogeny class |
Conductor |
4646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2544 |
Modular degree for the optimal curve |
Δ |
-1985849072 = -1 · 24 · 233 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -2 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,119,-2115] |
[a1,a2,a3,a4,a6] |
j |
185485563927/1985849072 |
j-invariant |
L |
0.72661522043009 |
L(r)(E,1)/r! |
Ω |
0.72661522043009 |
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 |
37168h1 41814i1 116150y1 106858b1 |
Quadratic twists by: -4 -3 5 -23 |