Atkin-Lehner |
2- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60320q |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
6298224267612160 = 212 · 5 · 139 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -4 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48061,1382645] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:572:1] [-164:2197:1] |
Generators of the group modulo torsion |
j |
2997444904021504/1537652409085 |
j-invariant |
L |
7.9386940622311 |
L(r)(E,1)/r! |
Ω |
0.37357701386723 |
Real period |
R |
1.1805826981913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320d1 120640z1 |
Quadratic twists by: -4 8 |