Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150w |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2683296 |
Modular degree for the optimal curve |
Δ |
-9.9544026821446E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11272600,-4263172800] |
[a1,a2,a3,a4,a6] |
Generators |
[26005794608:2345039645800:33698267] |
Generators of the group modulo torsion |
j |
1182427286584775/743008370688 |
j-invariant |
L |
1.9527058049465 |
L(r)(E,1)/r! |
Ω |
0.061228942956345 |
Real period |
R |
15.945937580032 |
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 |
54450hj1 18150da1 18150cn1 |
Quadratic twists by: -3 5 -11 |