Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34450r |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1682128906250 = -1 · 2 · 513 · 13 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 4 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3313,-97719] |
[a1,a2,a3,a4,a6] |
Generators |
[213891740:4585268567:438976] |
Generators of the group modulo torsion |
j |
-257380823881/107656250 |
j-invariant |
L |
8.2082413909875 |
L(r)(E,1)/r! |
Ω |
0.30832678538266 |
Real period |
R |
13.310944394274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890c1 |
Quadratic twists by: 5 |