Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6120r |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8846579462400 = 28 · 314 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20703,-1137598] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:70:1] |
Generators of the group modulo torsion |
j |
5258429611216/47403225 |
j-invariant |
L |
3.6985600606443 |
L(r)(E,1)/r! |
Ω |
0.39822405335827 |
Real period |
R |
2.3219090041485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12240g2 48960ck2 2040c2 30600t2 |
Quadratic twists by: -4 8 -3 5 |