Atkin-Lehner |
3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747g |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7299072 |
Modular degree for the optimal curve |
Δ |
6.9928827718015E+23 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24563642,-24014363880] |
[a1,a2,a3,a4,a6] |
Generators |
[-2896:152535:1] |
Generators of the group modulo torsion |
j |
2248404494558062708282969/959243178573593340273 |
j-invariant |
L |
1.9257043692899 |
L(r)(E,1)/r! |
Ω |
0.070470620434907 |
Real period |
R |
4.5543905566602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18249d1 |
Quadratic twists by: -3 |