Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122m |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.2751836590277E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,131103,-228795651] |
[a1,a2,a3,a4,a6] |
Generators |
[147224580:19901660577:8000] |
Generators of the group modulo torsion |
j |
341847343588763375/31209652387210752 |
j-invariant |
L |
3.9815505874916 |
L(r)(E,1)/r! |
Ω |
0.10168142246415 |
Real period |
R |
9.7892773601183 |
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 |
10374l2 |
Quadratic twists by: -3 |