Atkin-Lehner |
2- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53360n |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
437125120 = 217 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -3 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16216,800240] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-32:1] [202:5099:8] |
Generators of the group modulo torsion |
j |
115138814303449/106720 |
j-invariant |
L |
7.9449783962004 |
L(r)(E,1)/r! |
Ω |
1.4004837445769 |
Real period |
R |
1.4182560895422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670a1 |
Quadratic twists by: -4 |