Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bk |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
1.9941969548075E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1669578,-802761513] |
[a1,a2,a3,a4,a6] |
Generators |
[-855:1211:1] |
Generators of the group modulo torsion |
j |
4374774061901412625/169503944343552 |
j-invariant |
L |
7.9184093442476 |
L(r)(E,1)/r! |
Ω |
0.13313223291793 |
Real period |
R |
1.6521604896217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374l1 |
Quadratic twists by: -7 |