Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018l |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1511454343018740224 = -1 · 29 · 137 · 196 |
Discriminant |
Eigenvalues |
2+ -1 3 1 -6 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28034906,57122632468] |
[a1,a2,a3,a4,a6] |
Generators |
[3057:-1348:1] [3047:-594:1] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
8.7247090725469 |
L(r)(E,1)/r! |
Ω |
0.22138532436665 |
Real period |
R |
4.9262011246029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386g3 338c3 |
Quadratic twists by: 13 -19 |