Atkin-Lehner |
2+ 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610l |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-945135762758048160 = -1 · 25 · 34 · 5 · 1310 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,213613,-27183411] |
[a1,a2,a3,a4,a6] |
j |
7819339151/6855840 |
j-invariant |
L |
2.4562165424127 |
L(r)(E,1)/r! |
Ω |
0.15351360806973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bo1 |
Quadratic twists by: 13 |