Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386bz |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-75732170971968 = -1 · 26 · 39 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49622,4287525] |
[a1,a2,a3,a4,a6] |
Generators |
[107:387:1] [-187:2739:1] |
Generators of the group modulo torsion |
j |
-157551496201/883008 |
j-invariant |
L |
12.201667852317 |
L(r)(E,1)/r! |
Ω |
0.6156034701865 |
Real period |
R |
0.20646522144568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21462f1 9198i1 |
Quadratic twists by: -3 -7 |