Atkin-Lehner |
2+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64480f |
Isogeny class |
Conductor |
64480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2682368000 = -1 · 212 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 0 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,-2197] |
[a1,a2,a3,a4,a6] |
Generators |
[13:52:1] |
Generators of the group modulo torsion |
j |
199176704/654875 |
j-invariant |
L |
7.6662468192157 |
L(r)(E,1)/r! |
Ω |
0.73427776117218 |
Real period |
R |
0.87004391988608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64480m1 128960a1 |
Quadratic twists by: -4 8 |