Atkin-Lehner |
2+ 3+ 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030c |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-8495861493843000 = -1 · 23 · 33 · 53 · 232 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19059,4553613] |
[a1,a2,a3,a4,a6] |
Generators |
[20006:988917:8] |
Generators of the group modulo torsion |
j |
-28357836595086123/314661536809000 |
j-invariant |
L |
5.7479757552002 |
L(r)(E,1)/r! |
Ω |
0.35160245201257 |
Real period |
R |
8.1739699515231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998869 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60030z4 |
Quadratic twists by: -3 |