Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536br |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
17566949965824 = 220 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8067,-192638] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:256:1] [-33:194:1] |
Generators of the group modulo torsion |
j |
19443408769/5883136 |
j-invariant |
L |
10.356236736044 |
L(r)(E,1)/r! |
Ω |
0.51557722231562 |
Real period |
R |
5.0216709970065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8442a1 7504r1 |
Quadratic twists by: -4 -3 |