Atkin-Lehner |
2- 3+ 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030z |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
62434580889600 = 218 · 33 · 52 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19493,980957] |
[a1,a2,a3,a4,a6] |
Generators |
[43:448:1] |
Generators of the group modulo torsion |
j |
30337173067302387/2312391884800 |
j-invariant |
L |
9.5795788015872 |
L(r)(E,1)/r! |
Ω |
0.60882451607546 |
Real period |
R |
2.6224247296298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998122 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60030c3 |
Quadratic twists by: -3 |