Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bt |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-25384771440 = -1 · 24 · 39 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,7803] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:35:1] [33:189:1] |
Generators of the group modulo torsion |
j |
-5038848/80605 |
j-invariant |
L |
11.303522083737 |
L(r)(E,1)/r! |
Ω |
1.0073909731126 |
Real period |
R |
0.93504924993964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118440n1 |
Quadratic twists by: -3 |