Atkin-Lehner |
2- 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030cc |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25117418107031250 = -1 · 2 · 3 · 58 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28225,-7401093] |
[a1,a2,a3,a4,a6] |
j |
2486706916146944399/25117418107031250 |
j-invariant |
L |
5.9597812360371 |
L(r)(E,1)/r! |
Ω |
0.1862431636261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090o5 |
Quadratic twists by: -3 |