Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070k |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11594545957834920 = 23 · 37 · 5 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125100,-16192440] |
[a1,a2,a3,a4,a6] |
Generators |
[411:1095:1] |
Generators of the group modulo torsion |
j |
297009311917521601/15904726965480 |
j-invariant |
L |
2.1794043384041 |
L(r)(E,1)/r! |
Ω |
0.25470079887951 |
Real period |
R |
1.0695904508309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690v4 |
Quadratic twists by: -3 |