Atkin-Lehner |
2- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
57232b |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-44869888 = -1 · 28 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 3 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49,-294] |
[a1,a2,a3,a4,a6] |
Generators |
[14:56:1] |
Generators of the group modulo torsion |
j |
21168/73 |
j-invariant |
L |
5.0847365863887 |
L(r)(E,1)/r! |
Ω |
1.0306979091659 |
Real period |
R |
1.6444315840822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14308a1 57232g1 |
Quadratic twists by: -4 -7 |