Atkin-Lehner |
2- 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41652b |
Isogeny class |
Conductor |
41652 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-12040690750940592 = -1 · 24 · 39 · 136 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 6 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51516,-2759967] |
[a1,a2,a3,a4,a6] |
j |
48010788716544/38233154089 |
j-invariant |
L |
4.0135519200421 |
L(r)(E,1)/r! |
Ω |
0.22297510666615 |
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 |
41652a1 |
Quadratic twists by: -3 |