Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12012f |
Isogeny class |
Conductor |
12012 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
319680 |
Modular degree for the optimal curve |
Δ |
-2.5741049428854E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72469,771930512] |
[a1,a2,a3,a4,a6] |
Generators |
[3788:234234:1] |
Generators of the group modulo torsion |
j |
-2630670943227215872/16088155893033667443 |
j-invariant |
L |
5.0866725604563 |
L(r)(E,1)/r! |
Ω |
0.14011360323629 |
Real period |
R |
0.40337685063853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048bm1 36036o1 84084f1 |
Quadratic twists by: -4 -3 -7 |