Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bc |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
934216691821314048 = 222 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 3 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-491798,-124213211] |
[a1,a2,a3,a4,a6] |
j |
3130194403161/222298112 |
j-invariant |
L |
7.9679291297079 |
L(r)(E,1)/r! |
Ω |
0.18108929840617 |
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 |
5194a1 46746bx1 |
Quadratic twists by: -3 -7 |