Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710g |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
67315860 = 22 · 311 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4432320,-3590548484] |
[a1,a2,a3,a4,a6] |
Generators |
[44367:9312250:1] |
Generators of the group modulo torsion |
j |
13209596798923694545921/92340 |
j-invariant |
L |
2.2323440489626 |
L(r)(E,1)/r! |
Ω |
0.10404992540313 |
Real period |
R |
10.727273663645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680bd4 54720bx4 570i4 8550bh3 |
Quadratic twists by: -4 8 -3 5 |