Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775bb |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
20684033585325 = 311 · 52 · 115 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-144435,-21126789] |
[a1,a2,a3,a4,a6] |
Generators |
[8794490:823954207:1000] |
Generators of the group modulo torsion |
j |
18284096823070720/1134926397 |
j-invariant |
L |
12.355612131895 |
L(r)(E,1)/r! |
Ω |
0.24489677202712 |
Real period |
R |
12.613081858685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925w1 71775bu2 |
Quadratic twists by: -3 5 |