Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958t |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-903307000739994 = -1 · 2 · 33 · 173 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12972,1552732] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:863:1] |
Generators of the group modulo torsion |
j |
-1630532233/6101946 |
j-invariant |
L |
6.0486482128504 |
L(r)(E,1)/r! |
Ω |
0.43532452163965 |
Real period |
R |
2.3157621162247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346g1 |
Quadratic twists by: -23 |