Atkin-Lehner |
2+ 3+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130h |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-9473664096000 = -1 · 28 · 39 · 53 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4386,96020] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:282:1] |
Generators of the group modulo torsion |
j |
474004650573/481312000 |
j-invariant |
L |
5.5023183911592 |
L(r)(E,1)/r! |
Ω |
0.48038740145018 |
Real period |
R |
1.9089864972409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130bd1 |
Quadratic twists by: -3 |