Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690z |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.4698140874333E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109328,185005887] |
[a1,a2,a3,a4,a6] |
Generators |
[-175161:-3468291:343] |
Generators of the group modulo torsion |
j |
-198237891502720441/20162058812527500 |
j-invariant |
L |
7.9108465553051 |
L(r)(E,1)/r! |
Ω |
0.1823927821294 |
Real period |
R |
5.421573199709 |
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 |
10230j4 |
Quadratic twists by: -3 |