Atkin-Lehner |
2+ 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4386i |
Isogeny class |
Conductor |
4386 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-182527776 = -1 · 25 · 33 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25,650] |
[a1,a2,a3,a4,a6] |
j |
1829276567/182527776 |
j-invariant |
L |
1.3795444429164 |
L(r)(E,1)/r! |
Ω |
1.3795444429164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35088m1 13158p1 109650bs1 74562e1 |
Quadratic twists by: -4 -3 5 17 |