Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492bb |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5938232145801984 = -1 · 28 · 312 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101136,12922868] |
[a1,a2,a3,a4,a6] |
Generators |
[2786:35721:8] |
Generators of the group modulo torsion |
j |
-5210570752/270459 |
j-invariant |
L |
8.5901992590989 |
L(r)(E,1)/r! |
Ω |
0.42069847170821 |
Real period |
R |
2.5523622724239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31164g1 13356h1 |
Quadratic twists by: -3 -7 |