Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760l |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
38053800000 = 26 · 38 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271857,54558056] |
[a1,a2,a3,a4,a6] |
Generators |
[307:-180:1] |
Generators of the group modulo torsion |
j |
47625305001386176/815625 |
j-invariant |
L |
5.8631625926505 |
L(r)(E,1)/r! |
Ω |
0.82493290663953 |
Real period |
R |
0.71074417633943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760k1 83520ey1 13920s1 |
Quadratic twists by: -4 8 -3 |