Atkin-Lehner |
2+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642b |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-421679687858 = -1 · 2 · 112 · 136 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1067,27951] |
[a1,a2,a3,a4,a6] |
Generators |
[23:242:1] |
Generators of the group modulo torsion |
j |
27818127/87362 |
j-invariant |
L |
2.014729947978 |
L(r)(E,1)/r! |
Ω |
0.66630600897488 |
Real period |
R |
1.5118653600751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
418a2 |
Quadratic twists by: 13 |