Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640be |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-181260800000 = -1 · 212 · 55 · 72 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10656,427456] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-34:1] |
Generators of the group modulo torsion |
j |
-666793065841/903125 |
j-invariant |
L |
4.6621318848066 |
L(r)(E,1)/r! |
Ω |
1.0105053729086 |
Real period |
R |
1.1534159070959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165e1 66640bv1 |
Quadratic twists by: -4 -7 |