Atkin-Lehner |
2- 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756s |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-1425329136 = -1 · 24 · 37 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-1811] |
[a1,a2,a3,a4,a6] |
Generators |
[35:207:1] [12:23:1] |
Generators of the group modulo torsion |
j |
1257728/122199 |
j-invariant |
L |
8.4517481675048 |
L(r)(E,1)/r! |
Ω |
0.71976170999322 |
Real period |
R |
0.489267723965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21252h1 |
Quadratic twists by: -3 |