Atkin-Lehner |
2- 3- 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
94128j |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1300992 |
Modular degree for the optimal curve |
Δ |
-2911164751008497664 = -1 · 223 · 314 · 372 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81976,-82613164] |
[a1,a2,a3,a4,a6] |
Generators |
[1958:85248:1] |
Generators of the group modulo torsion |
j |
-14874049811900089/710733581789184 |
j-invariant |
L |
9.2053065904946 |
L(r)(E,1)/r! |
Ω |
0.11130834747598 |
Real period |
R |
0.73840138068524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11766a1 |
Quadratic twists by: -4 |