Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13300o |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
6258926800 = 24 · 52 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 3 7 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1300,-17635] |
[a1,a2,a3,a4,a6] |
j |
607426560000/15647317 |
j-invariant |
L |
5.5743498812857 |
L(r)(E,1)/r! |
Ω |
0.79633569732653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200bq1 119700bn1 13300t1 93100q1 |
Quadratic twists by: -4 -3 5 -7 |