Atkin-Lehner |
2- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550bb |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
43756564480000 = 215 · 54 · 31 · 413 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -1 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10763,-293319] |
[a1,a2,a3,a4,a6] |
Generators |
[-2175:7634:27] [-35:222:1] |
Generators of the group modulo torsion |
j |
220620689490625/70010503168 |
j-invariant |
L |
11.161496547491 |
L(r)(E,1)/r! |
Ω |
0.48045338660637 |
Real period |
R |
0.17208277537126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550d1 |
Quadratic twists by: 5 |