Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550ci |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-212971950000000 = -1 · 27 · 33 · 58 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12562,447492] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-1466:1] |
Generators of the group modulo torsion |
j |
14030653277159/13630204800 |
j-invariant |
L |
13.361381989667 |
L(r)(E,1)/r! |
Ω |
0.36917352483829 |
Real period |
R |
0.28724355098817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110i1 |
Quadratic twists by: 5 |