Atkin-Lehner |
3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27495g |
Isogeny class |
Conductor |
27495 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-196262746875 = -1 · 37 · 55 · 13 · 472 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -5 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1338,9972] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-212:1] [2:112:1] |
Generators of the group modulo torsion |
j |
363382931456/269221875 |
j-invariant |
L |
6.6711841341265 |
L(r)(E,1)/r! |
Ω |
0.64177282947056 |
Real period |
R |
0.25987326931678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9165b1 |
Quadratic twists by: -3 |