Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245m |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4967424 |
Modular degree for the optimal curve |
Δ |
8406688680330923125 = 54 · 118 · 137 |
Discriminant |
Eigenvalues |
-1 3 5- -2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4962717,4254225616] |
[a1,a2,a3,a4,a6] |
Generators |
[32952:85333:27] |
Generators of the group modulo torsion |
j |
13064132169/8125 |
j-invariant |
L |
8.6159574574846 |
L(r)(E,1)/r! |
Ω |
0.2300580414154 |
Real period |
R |
4.681404187608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102245j1 7865a1 |
Quadratic twists by: -11 13 |