Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704x |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-602112 = -1 · 212 · 3 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -6 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
3584/3 |
j-invariant |
L |
3.8199402886008 |
L(r)(E,1)/r! |
Ω |
1.6010876687589 |
Real period |
R |
1.19292040128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4704bh1 9408df1 14112bd1 117600dm1 |
Quadratic twists by: -4 8 -3 5 |