Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bw |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7481771089920 = 213 · 37 · 5 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23907,1416674] |
[a1,a2,a3,a4,a6] |
j |
506071034209/2505630 |
j-invariant |
L |
2.9858750052404 |
L(r)(E,1)/r! |
Ω |
0.74646875131009 |
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 |
1530e3 48960ec3 4080t3 61200fg3 |
Quadratic twists by: -4 8 -3 5 |