Atkin-Lehner |
3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405f |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-1382238675 = -1 · 39 · 52 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 -2 -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,268,514] |
[a1,a2,a3,a4,a6] |
Generators |
[2:31:1] [4:38:1] |
Generators of the group modulo torsion |
j |
38637/25 |
j-invariant |
L |
8.8425291383302 |
L(r)(E,1)/r! |
Ω |
0.9490211209597 |
Real period |
R |
2.3293815427336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405b1 126405d1 |
Quadratic twists by: -3 53 |