Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240ba |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9987840000000000 = 217 · 33 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2364363,1399319162] |
[a1,a2,a3,a4,a6] |
j |
13217291350697580147/90312500000 |
j-invariant |
L |
1.4572835600361 |
L(r)(E,1)/r! |
Ω |
0.36432089000903 |
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 |
1530i2 48960dr2 12240bk2 61200dq2 |
Quadratic twists by: -4 8 -3 5 |