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 |
Δ |
-8605314384698880 = -1 · 29 · 33 · 5 · 236 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18907,4344797] |
[a1,a2,a3,a4,a6] |
Generators |
[427:9280:1] |
Generators of the group modulo torsion |
j |
27685307706022413/318715347581440 |
j-invariant |
L |
9.5795788015872 |
L(r)(E,1)/r! |
Ω |
0.30441225803773 |
Real period |
R |
5.2448494592595 |
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 |
60030c4 |
Quadratic twists by: -3 |