Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360k |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-106384354560000 = -1 · 211 · 33 · 54 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8264,406064] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1050:1] |
Generators of the group modulo torsion |
j |
30472783891342/51945485625 |
j-invariant |
L |
6.5267764830216 |
L(r)(E,1)/r! |
Ω |
0.4074499161982 |
Real period |
R |
2.669766362093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720e3 91080ca3 |
Quadratic twists by: -4 -3 |