Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126h |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.8119443673392E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25496112,-41706963712] |
[a1,a2,a3,a4,a6] |
Generators |
[4941910:450262831:1000] |
Generators of the group modulo torsion |
j |
16153623810383661/15968688406528 |
j-invariant |
L |
6.5482574974039 |
L(r)(E,1)/r! |
Ω |
0.045504854621876 |
Real period |
R |
11.991866156735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dk1 126126x2 |
Quadratic twists by: -3 -7 |