Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bz |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9934848 |
Modular degree for the optimal curve |
Δ |
-2.7743395974841E+22 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 1 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49845761,-135707039233] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
5.5675722027607 |
L(r)(E,1)/r! |
Ω |
0.028405980594388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712be1 18928n1 5824ba1 |
Quadratic twists by: -4 8 13 |