Atkin-Lehner |
5+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52325j |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
205200 |
Modular degree for the optimal curve |
Δ |
-583771220703125 = -1 · 510 · 7 · 135 · 23 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99180,-12053428] |
[a1,a2,a3,a4,a6] |
j |
-11048208852825/59778173 |
j-invariant |
L |
1.2102243189225 |
L(r)(E,1)/r! |
Ω |
0.13446936876271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52325q1 |
Quadratic twists by: 5 |