Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810bg |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7374272400 = 24 · 36 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4802,129201] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:519:1] |
Generators of the group modulo torsion |
j |
16794916941529/10115600 |
j-invariant |
L |
8.7311436849435 |
L(r)(E,1)/r! |
Ω |
1.307351578212 |
Real period |
R |
0.55654142252517 |
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 |
2090b1 94050ba1 |
Quadratic twists by: -3 5 |