Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67424o |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4775284437952 = -1 · 26 · 79 · 432 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4198,-8408] |
[a1,a2,a3,a4,a6] |
Generators |
[4:92:1] |
Generators of the group modulo torsion |
j |
1086373952/634207 |
j-invariant |
L |
3.4939013306652 |
L(r)(E,1)/r! |
Ω |
0.45473104304152 |
Real period |
R |
3.8417229088598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67424i1 9632h1 |
Quadratic twists by: -4 -7 |