Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bu |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1130008698 = 2 · 33 · 73 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2052,-36597] |
[a1,a2,a3,a4,a6] |
Generators |
[595190:14194383:1000] |
Generators of the group modulo torsion |
j |
2785960079911/3294486 |
j-invariant |
L |
10.371375538276 |
L(r)(E,1)/r! |
Ω |
0.70938981750227 |
Real period |
R |
7.310067950655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618cb2 |
Quadratic twists by: -7 |