Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12084b |
Isogeny class |
Conductor |
12084 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
287280 |
Modular degree for the optimal curve |
Δ |
3.1326952337256E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1120697,369169446] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19038:1] |
Generators of the group modulo torsion |
j |
9729012135299246768128/1957934521078501869 |
j-invariant |
L |
2.9817139033289 |
L(r)(E,1)/r! |
Ω |
0.19744674263414 |
Real period |
R |
5.0337859271986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336bm1 36252m1 |
Quadratic twists by: -4 -3 |