Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200k |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43352064 |
Modular degree for the optimal curve |
Δ |
2.4821251455656E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6029605575,180211070072250] |
[a1,a2,a3,a4,a6] |
j |
7630566466251024/78125 |
j-invariant |
L |
2.4840144121895 |
L(r)(E,1)/r! |
Ω |
0.069000402498175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200en1 17640bo1 88200n1 |
Quadratic twists by: -3 5 -7 |