Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360y |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1049241600 = 211 · 34 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21859200,-39329558100] |
[a1,a2,a3,a4,a6] |
Generators |
[13478418037:360234206310:2352637] |
Generators of the group modulo torsion |
j |
564022683688787276025602/512325 |
j-invariant |
L |
5.2561903559018 |
L(r)(E,1)/r! |
Ω |
0.069821791384623 |
Real period |
R |
18.820021126884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720ba6 91080j6 |
Quadratic twists by: -4 -3 |