Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030n |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-383020253179380 = -1 · 22 · 316 · 5 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29430,-2152040] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:32804:1] |
Generators of the group modulo torsion |
j |
-3867009783331681/525405011220 |
j-invariant |
L |
5.8342577569912 |
L(r)(E,1)/r! |
Ω |
0.18088442945304 |
Real period |
R |
4.0317578570234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010u2 |
Quadratic twists by: -3 |