Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bi |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5601705984 = 214 · 36 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 -7 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-2518] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:16:1] |
Generators of the group modulo torsion |
j |
4826809/1876 |
j-invariant |
L |
6.1607867944905 |
L(r)(E,1)/r! |
Ω |
1.0399432212198 |
Real period |
R |
1.4810392212343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8442d1 7504n1 |
Quadratic twists by: -4 -3 |