Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530k |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.11822940416E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3374595,-2350430379] |
[a1,a2,a3,a4,a6] |
Generators |
[8005:691374:1] |
Generators of the group modulo torsion |
j |
5829901703699110294321/97643750400000000 |
j-invariant |
L |
2.8642571294254 |
L(r)(E,1)/r! |
Ω |
0.11150267088582 |
Real period |
R |
6.421947354872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510ba2 97650ed2 |
Quadratic twists by: -3 5 |