Atkin-Lehner |
2- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
64672h |
Isogeny class |
Conductor |
64672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
129344 = 26 · 43 · 47 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 -6 -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102,364] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2:1] [-10:22:1] [-7:28:1] |
Generators of the group modulo torsion |
j |
1851804352/2021 |
j-invariant |
L |
8.0012435324958 |
L(r)(E,1)/r! |
Ω |
3.2796531479846 |
Real period |
R |
1.2198307521349 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64672d1 129344s1 |
Quadratic twists by: -4 8 |