Atkin-Lehner |
3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53067o |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
9566424 |
Modular degree for the optimal curve |
Δ |
-9.4427936703218E+22 |
Discriminant |
Eigenvalues |
2 3- 0 7- -2 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-137237158,618938516683] |
[a1,a2,a3,a4,a6] |
Generators |
[20444302414:619866386519:2406104] |
Generators of the group modulo torsion |
j |
-59584000000/19683 |
j-invariant |
L |
14.921267562851 |
L(r)(E,1)/r! |
Ω |
0.10476364078613 |
Real period |
R |
15.825324565409 |
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 |
53067a1 53067k1 |
Quadratic twists by: -7 -19 |