Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1682f |
Isogeny class |
Conductor |
1682 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
6728 = 23 · 292 |
Discriminant |
Eigenvalues |
2- 2 0 -1 6 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148,-755] |
[a1,a2,a3,a4,a6] |
j |
426477625/8 |
j-invariant |
L |
4.1062046170143 |
L(r)(E,1)/r! |
Ω |
1.3687348723381 |
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 |
13456i2 53824h2 15138d2 42050g2 |
Quadratic twists by: -4 8 -3 5 |