Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800h |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38931200 |
Modular degree for the optimal curve |
Δ |
-9.9074965192935E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1574188833,24045232868037] |
[a1,a2,a3,a4,a6] |
Generators |
[7623623:65372054:343] |
Generators of the group modulo torsion |
j |
-862827920003271851660288/198149930385870519 |
j-invariant |
L |
5.5553569826857 |
L(r)(E,1)/r! |
Ω |
0.058313370622877 |
Real period |
R |
11.908411667903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79800bv1 |
Quadratic twists by: 5 |