Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970b |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1528329600000000 = 213 · 33 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6423270,-6264278604] |
[a1,a2,a3,a4,a6] |
Generators |
[43470:2740827:8] |
Generators of the group modulo torsion |
j |
1085496729895194829662267/56604800000000 |
j-invariant |
L |
3.1118853463428 |
L(r)(E,1)/r! |
Ω |
0.094833222493173 |
Real period |
R |
8.20357377017 |
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 |
95760cf2 11970bk2 59850ed2 83790p2 |
Quadratic twists by: -4 -3 5 -7 |