Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840p |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3070878720 = 210 · 3 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2296,-43036] |
[a1,a2,a3,a4,a6] |
Generators |
[2810:52221:8] |
Generators of the group modulo torsion |
j |
1307761493476/2998905 |
j-invariant |
L |
6.5658859590008 |
L(r)(E,1)/r! |
Ω |
0.68976422147538 |
Real period |
R |
4.7595147403822 |
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 |
10920k4 87360fs4 65520bn4 109200k4 |
Quadratic twists by: -4 8 -3 5 |