Atkin-Lehner |
2+ 5+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20590b |
Isogeny class |
Conductor |
20590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-197265425039360000 = -1 · 220 · 54 · 292 · 713 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240010,50108916] |
[a1,a2,a3,a4,a6] |
j |
-1529018502420938690169/197265425039360000 |
j-invariant |
L |
0.61654088739175 |
L(r)(E,1)/r! |
Ω |
0.30827044369587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102950e1 |
Quadratic twists by: 5 |