Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bi |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1299200 = -1 · 28 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -2 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
327680/203 |
j-invariant |
L |
3.0700092728244 |
L(r)(E,1)/r! |
Ω |
1.5683007548901 |
Real period |
R |
0.97876930239693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20300l1 81200ck1 |
Quadratic twists by: -4 5 |