Atkin-Lehner |
2- 3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990x |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-6.1212903742619E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1312592,-690126541] |
[a1,a2,a3,a4,a6] |
Generators |
[2349:-97007:1] |
Generators of the group modulo torsion |
j |
-343071888021657930169/83968317891110400 |
j-invariant |
L |
12.200487933401 |
L(r)(E,1)/r! |
Ω |
0.069625180990196 |
Real period |
R |
0.60844086463218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33330b2 |
Quadratic twists by: -3 |