Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966r |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4752384 |
Modular degree for the optimal curve |
Δ |
-6.0296651895368E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1720267,-800258409] |
[a1,a2,a3,a4,a6] |
j |
16807/18 |
j-invariant |
L |
0.35255844485505 |
L(r)(E,1)/r! |
Ω |
0.088139635058145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966bj1 84966bt1 |
Quadratic twists by: -7 17 |