Atkin-Lehner |
2- 3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bk |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
561891330 = 2 · 36 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-650,6005] |
[a1,a2,a3,a4,a6] |
j |
30374248413601/561891330 |
j-invariant |
L |
3.2793589443368 |
L(r)(E,1)/r! |
Ω |
1.6396794721677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090y2 |
Quadratic twists by: -3 |