Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240d |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5353776000000 = 210 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8667,-289926] |
[a1,a2,a3,a4,a6] |
j |
3572225388/265625 |
j-invariant |
L |
2.9827679204211 |
L(r)(E,1)/r! |
Ω |
0.49712798673685 |
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 |
6120q2 48960di2 12240b2 61200g2 |
Quadratic twists by: -4 8 -3 5 |