Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746q |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-5136082953670695348 = -1 · 22 · 36 · 716 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35583,109076561] |
[a1,a2,a3,a4,a6] |
j |
-58095499617/59884752788 |
j-invariant |
L |
0.78211839668959 |
L(r)(E,1)/r! |
Ω |
0.19552959920047 |
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 |
5194q1 6678d1 |
Quadratic twists by: -3 -7 |