Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200n |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7358750000 = -1 · 24 · 57 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50,-4125] |
[a1,a2,a3,a4,a6] |
Generators |
[211:3066:1] |
Generators of the group modulo torsion |
j |
55296/29435 |
j-invariant |
L |
6.6770024683216 |
L(r)(E,1)/r! |
Ω |
0.61848153071074 |
Real period |
R |
5.3978996403281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600o1 16240b1 |
Quadratic twists by: -4 5 |