Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030m |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
26342400 |
Modular degree for the optimal curve |
Δ |
-6.3832494754128E+23 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 11- 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-675453664,-6756746583680] |
[a1,a2,a3,a4,a6] |
Generators |
[310158:40107671:8] |
Generators of the group modulo torsion |
j |
-19237750463016353596082481/360317791790000000 |
j-invariant |
L |
2.425903360906 |
L(r)(E,1)/r! |
Ω |
0.014807105832286 |
Real period |
R |
2.925602299635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730k1 |
Quadratic twists by: -11 |