Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728eu |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-7.7025637438766E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -1 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32517723,-71496871670] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
4.5514450462044 |
L(r)(E,1)/r! |
Ω |
0.031607257358117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466ce1 10192v1 13104cl1 |
Quadratic twists by: -4 -3 -7 |