Atkin-Lehner |
2+ 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122l |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5584196753158842 = 2 · 37 · 73 · 134 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110223,-13590869] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:701:1] [-163:239:1] |
Generators of the group modulo torsion |
j |
203149183893111793/7660077850698 |
j-invariant |
L |
5.7355750051206 |
L(r)(E,1)/r! |
Ω |
0.2626262857877 |
Real period |
R |
0.9099709542144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374j3 |
Quadratic twists by: -3 |