Atkin-Lehner |
2+ 3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030f |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3976941969000000 = 26 · 34 · 56 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45052,-2102384] |
[a1,a2,a3,a4,a6] |
Generators |
[432:-7916:1] |
Generators of the group modulo torsion |
j |
10113023132079746761/3976941969000000 |
j-invariant |
L |
3.6893661202691 |
L(r)(E,1)/r! |
Ω |
0.33891802508399 |
Real period |
R |
0.45357159244171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090dd2 |
Quadratic twists by: -3 |