Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fe |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-3.7601292116965E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38471763,-91909612719] |
[a1,a2,a3,a4,a6] |
Generators |
[7531:209678:1] |
Generators of the group modulo torsion |
j |
-137025597360350785/81819061632 |
j-invariant |
L |
9.3589112901027 |
L(r)(E,1)/r! |
Ω |
0.030308781960208 |
Real period |
R |
2.2056104541456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850cj1 11550cp1 |
Quadratic twists by: 5 -7 |