Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bd |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1508547950267382882 = -1 · 2 · 36 · 118 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,91594,-58114366] |
[a1,a2,a3,a4,a6] |
Generators |
[35166:6577219:1] |
Generators of the group modulo torsion |
j |
9938375/176418 |
j-invariant |
L |
7.2110467226282 |
L(r)(E,1)/r! |
Ω |
0.13074812557999 |
Real period |
R |
4.5960165884625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bf2 726h2 |
Quadratic twists by: -11 13 |