Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4389i |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-9598743 = -1 · 38 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3,-149] |
[a1,a2,a3,a4,a6] |
j |
4657463/9598743 |
j-invariant |
L |
2.1362077117976 |
L(r)(E,1)/r! |
Ω |
1.0681038558988 |
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 |
70224bl1 13167o1 109725f1 30723d1 |
Quadratic twists by: -4 -3 5 -7 |