Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
120612g |
Isogeny class |
Conductor |
120612 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
3815424 |
Modular degree for the optimal curve |
Δ |
-1.4244957171359E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1135587,-335472129] |
[a1,a2,a3,a4,a6] |
Generators |
[621:24690:1] |
Generators of the group modulo torsion |
j |
8078336000/7105563 |
j-invariant |
L |
9.7409566188106 |
L(r)(E,1)/r! |
Ω |
0.10104232814441 |
Real period |
R |
5.3558173448878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005464 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120612f1 |
Quadratic twists by: -23 |