Atkin-Lehner |
2- 3- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614l |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3270369816 = -1 · 23 · 310 · 7 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 1 3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,184,2531] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
949862087/4486104 |
j-invariant |
L |
9.1079723038664 |
L(r)(E,1)/r! |
Ω |
1.015294860571 |
Real period |
R |
1.4951276064703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538f1 |
Quadratic twists by: -3 |