Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030y |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
32326702473600 = 27 · 33 · 52 · 232 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8093,62757] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:608:1] |
Generators of the group modulo torsion |
j |
2170892204521587/1197285276800 |
j-invariant |
L |
8.4091936068841 |
L(r)(E,1)/r! |
Ω |
0.57083187110213 |
Real period |
R |
0.26306199627535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030f2 |
Quadratic twists by: -3 |