Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600t |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
815625000000 = 26 · 32 · 511 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-755158,-252835312] |
[a1,a2,a3,a4,a6] |
Generators |
[-90675887318816334379:-323024390573802150:180604525286449277] |
Generators of the group modulo torsion |
j |
47625305001386176/815625 |
j-invariant |
L |
8.8704982571873 |
L(r)(E,1)/r! |
Ω |
0.16195339269653 |
Real period |
R |
27.385959966356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600g1 13920s1 |
Quadratic twists by: -4 5 |