Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bj |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-12928320 = -1 · 26 · 32 · 5 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60,-270] |
[a1,a2,a3,a4,a6] |
Generators |
[1026861:-5349878:35937] |
Generators of the group modulo torsion |
j |
-379503424/202005 |
j-invariant |
L |
8.7832621820111 |
L(r)(E,1)/r! |
Ω |
0.83566494997507 |
Real period |
R |
10.510506850819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320l1 32160n2 |
Quadratic twists by: -4 8 |