Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030p |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-989947105940275200 = -1 · 216 · 310 · 52 · 233 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143415,52271325] |
[a1,a2,a3,a4,a6] |
Generators |
[270:-5895:1] |
Generators of the group modulo torsion |
j |
-447488232172809841/1357952134348800 |
j-invariant |
L |
3.2518914256005 |
L(r)(E,1)/r! |
Ω |
0.24439472112542 |
Real period |
R |
1.6632373495735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010bb1 |
Quadratic twists by: -3 |