Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968ch |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2798240256 = -1 · 29 · 38 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1640,-26244] |
[a1,a2,a3,a4,a6] |
j |
-19456019912/111537 |
j-invariant |
L |
2.9996989906229 |
L(r)(E,1)/r! |
Ω |
0.37496237196316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968d1 79968bn1 |
Quadratic twists by: -4 -7 |