Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240g |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2731407428367360 = 210 · 322 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36003,-768782] |
[a1,a2,a3,a4,a6] |
j |
6913728144004/3658971285 |
j-invariant |
L |
1.4716561678361 |
L(r)(E,1)/r! |
Ω |
0.36791404195903 |
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 |
6120r3 48960fc4 4080o3 61200bq4 |
Quadratic twists by: -4 8 -3 5 |