Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bw |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5139624960000 = 213 · 310 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26787,-1683934] |
[a1,a2,a3,a4,a6] |
j |
711882749089/1721250 |
j-invariant |
L |
2.9858750052404 |
L(r)(E,1)/r! |
Ω |
0.37323437565504 |
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 |
1530e4 48960ec4 4080t4 61200fg4 |
Quadratic twists by: -4 8 -3 5 |