Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030bp |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
-3160750657536000 = -1 · 215 · 37 · 53 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36013,-638989] |
[a1,a2,a3,a4,a6] |
Generators |
[45:1012:1] |
Generators of the group modulo torsion |
j |
7085742935973911/4335734784000 |
j-invariant |
L |
11.698735354244 |
L(r)(E,1)/r! |
Ω |
0.25980174949937 |
Real period |
R |
1.5009823678777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20010h2 |
Quadratic twists by: -3 |