Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770bc |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2634313671000 = -1 · 23 · 39 · 53 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3427,-12419] |
[a1,a2,a3,a4,a6] |
Generators |
[37:386:1] |
Generators of the group modulo torsion |
j |
226200486357/133837000 |
j-invariant |
L |
6.4781213682108 |
L(r)(E,1)/r! |
Ω |
0.47439840924506 |
Real period |
R |
2.2759074939142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22770e1 113850m2 |
Quadratic twists by: -3 5 |