Atkin-Lehner |
2+ 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4386d |
Isogeny class |
Conductor |
4386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1308115728 = 24 · 32 · 173 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-978,-12060] |
[a1,a2,a3,a4,a6] |
j |
103617698471209/1308115728 |
j-invariant |
L |
1.7085144476012 |
L(r)(E,1)/r! |
Ω |
0.85425722380059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35088u1 13158w1 109650db1 74562r1 |
Quadratic twists by: -4 -3 5 17 |