Atkin-Lehner |
2- 3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bt |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-41342400000000 = -1 · 212 · 34 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5280,-273600] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1440:1] |
Generators of the group modulo torsion |
j |
3973592034719/10093359375 |
j-invariant |
L |
6.6115726447229 |
L(r)(E,1)/r! |
Ω |
0.33217724751763 |
Real period |
R |
1.2439843287873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785c1 |
Quadratic twists by: -4 |