Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dg |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
-4.275652403349E+24 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19359542,104753475397] |
[a1,a2,a3,a4,a6] |
Generators |
[1801:-276085:1] |
Generators of the group modulo torsion |
j |
-7071854467662747/37681378189312 |
j-invariant |
L |
12.025923892387 |
L(r)(E,1)/r! |
Ω |
0.067363781317947 |
Real period |
R |
0.57218622499627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126d1 126126do1 |
Quadratic twists by: -3 -7 |