Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350dd |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
342 |
Product of Tamagawa factors cp |
deg |
2987712 |
Modular degree for the optimal curve |
Δ |
-3.00379034817E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -6 -2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,491240,-228092133] |
[a1,a2,a3,a4,a6] |
Generators |
[429:7625:1] [919:31145:1] |
Generators of the group modulo torsion |
j |
18193295601243/41684566016 |
j-invariant |
L |
15.509524108068 |
L(r)(E,1)/r! |
Ω |
0.1083650610235 |
Real period |
R |
0.41848807416716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350z1 105350dn1 |
Quadratic twists by: 5 -7 |