Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920i |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
116704443600 = 24 · 314 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1398,11603] |
[a1,a2,a3,a4,a6] |
j |
25905842176/10005525 |
j-invariant |
L |
1.9137135115609 |
L(r)(E,1)/r! |
Ω |
0.95685675583453 |
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 |
21960q1 14640b1 |
Quadratic twists by: -4 -3 |