Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672ca |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-14187264 = -1 · 28 · 3 · 72 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,-201] |
[a1,a2,a3,a4,a6] |
Generators |
[345:1106:27] |
Generators of the group modulo torsion |
j |
-10903552/55419 |
j-invariant |
L |
12.508164461201 |
L(r)(E,1)/r! |
Ω |
0.92526626262447 |
Real period |
R |
3.3796121256006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31668a1 |
Quadratic twists by: -4 |