Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030bn |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10336378646520 = 23 · 318 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1280777,-557582191] |
[a1,a2,a3,a4,a6] |
Generators |
[40353:-8123012:1] |
Generators of the group modulo torsion |
j |
318725217291145165129/14178845880 |
j-invariant |
L |
9.8176259766958 |
L(r)(E,1)/r! |
Ω |
0.14191594789929 |
Real period |
R |
5.7649299473666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010l3 |
Quadratic twists by: -3 |