Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6890j |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
26914062500 = 22 · 510 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2098,-35603] |
[a1,a2,a3,a4,a6] |
Generators |
[-26210:41797:1000] |
Generators of the group modulo torsion |
j |
1020812743382769/26914062500 |
j-invariant |
L |
5.4631417848922 |
L(r)(E,1)/r! |
Ω |
0.70658292529704 |
Real period |
R |
7.7317772469461 |
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 |
55120h1 62010r1 34450h1 89570k1 |
Quadratic twists by: -4 -3 5 13 |