Atkin-Lehner |
2+ 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
104904g |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
-424482682659696 = -1 · 24 · 318 · 31 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 -2 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14007,1178867] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1269:1] |
Generators of the group modulo torsion |
j |
-26056230479104/36392548239 |
j-invariant |
L |
8.80047491188 |
L(r)(E,1)/r! |
Ω |
0.47770113323976 |
Real period |
R |
2.3028192404327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34968g1 |
Quadratic twists by: -3 |