Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742i |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-39563878920192 = -1 · 212 · 38 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12726,633204] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-318:1] |
Generators of the group modulo torsion |
j |
-25698491351/4460544 |
j-invariant |
L |
6.497659690642 |
L(r)(E,1)/r! |
Ω |
0.62192114215032 |
Real period |
R |
1.3059653457573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34914bh1 104742ba1 |
Quadratic twists by: -3 -23 |