Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bm |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12182814720 = 216 · 37 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3133443,2134916098] |
[a1,a2,a3,a4,a6] |
Generators |
[1047:1390:1] |
Generators of the group modulo torsion |
j |
1139466686381936641/4080 |
j-invariant |
L |
4.4228697605358 |
L(r)(E,1)/r! |
Ω |
0.60072925540242 |
Real period |
R |
3.6812505140715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1530c3 48960fd4 4080be3 61200ff4 |
Quadratic twists by: -4 8 -3 5 |