Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966bf |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-16136356564818 = -1 · 2 · 39 · 75 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -5 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3366,177214] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-685:1] [-114:2899:8] |
Generators of the group modulo torsion |
j |
237176659/907578 |
j-invariant |
L |
6.6701602120457 |
L(r)(E,1)/r! |
Ω |
0.49584091719043 |
Real period |
R |
0.33630545506018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322y1 105966co1 |
Quadratic twists by: -3 29 |