Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1014c |
Isogeny class |
Conductor |
1014 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6911164416 = -1 · 220 · 3 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4437,113440] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-1:1] |
Generators of the group modulo torsion |
j |
-4395631034341/3145728 |
j-invariant |
L |
1.9424336989416 |
L(r)(E,1)/r! |
Ω |
1.3173935460676 |
Real period |
R |
1.474452113979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8112y3 32448p3 3042n3 25350cc3 |
Quadratic twists by: -4 8 -3 5 |