Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530w |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.6768404150163E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16136034,-1664936812] |
[a1,a2,a3,a4,a6] |
Generators |
[4187:62424:1] |
Generators of the group modulo torsion |
j |
637362635322644797334049/367193472567398848000 |
j-invariant |
L |
3.7464983997352 |
L(r)(E,1)/r! |
Ω |
0.082035898546796 |
Real period |
R |
7.6115019280209 |
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 |
2170i2 97650dz2 |
Quadratic twists by: -3 5 |