Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60900bc |
Isogeny class |
Conductor |
60900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-81130218750000 = -1 · 24 · 32 · 59 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10667,-85912] |
[a1,a2,a3,a4,a6] |
Generators |
[3796556:58133250:79507] |
Generators of the group modulo torsion |
j |
4294967296/2596167 |
j-invariant |
L |
6.6642293890939 |
L(r)(E,1)/r! |
Ω |
0.35377835340246 |
Real period |
R |
9.4186505828765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60900n1 |
Quadratic twists by: 5 |