Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810cs |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2553600 |
Modular degree for the optimal curve |
Δ |
-1.8215075164229E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,655749,-19699695] |
[a1,a2,a3,a4,a6] |
Generators |
[516:21099:1] |
Generators of the group modulo torsion |
j |
96639388469/56448000 |
j-invariant |
L |
12.535454495757 |
L(r)(E,1)/r! |
Ω |
0.12856856076418 |
Real period |
R |
4.8750077088395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75810c1 |
Quadratic twists by: -19 |