Atkin-Lehner |
2+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200m |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19840 |
Modular degree for the optimal curve |
Δ |
-1222000 = -1 · 24 · 53 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 0 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] [4:9:1] |
Generators of the group modulo torsion |
j |
87808/611 |
j-invariant |
L |
6.4610415768909 |
L(r)(E,1)/r! |
Ω |
1.3605765630015 |
Real period |
R |
1.187188165422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122200bh1 |
Quadratic twists by: 5 |