Atkin-Lehner |
5- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19565j |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
374486328125 = 59 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-232135,42971306] |
[a1,a2,a3,a4,a6] |
Generators |
[278:3:1] |
Generators of the group modulo torsion |
j |
1383399010027484839936/374486328125 |
j-invariant |
L |
3.087678294914 |
L(r)(E,1)/r! |
Ω |
0.7626039639263 |
Real period |
R |
1.3496207035243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97825a1 |
Quadratic twists by: 5 |