Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
120612g |
Isogeny class |
Conductor |
120612 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.5465254643741E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25145133,-49144025313] |
[a1,a2,a3,a4,a6] |
Generators |
[137420262:86975203755:343] |
Generators of the group modulo torsion |
j |
-87704704000000/1270238787 |
j-invariant |
L |
9.7409566188106 |
L(r)(E,1)/r! |
Ω |
0.033680776048137 |
Real period |
R |
16.067452034663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120612f2 |
Quadratic twists by: -23 |