Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642n |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
-971310144 = -1 · 26 · 3 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,121,1418] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
1685159/8256 |
j-invariant |
L |
4.1439029376533 |
L(r)(E,1)/r! |
Ω |
1.1248760364448 |
Real period |
R |
1.8419376017423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136bp1 37926bl1 258a1 |
Quadratic twists by: -4 -3 -7 |