Atkin-Lehner |
2- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550m |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
504825312500 = 22 · 57 · 312 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2005,5497] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:126:1] [350:-97:8] |
Generators of the group modulo torsion |
j |
57022169049/32308820 |
j-invariant |
L |
13.551142642492 |
L(r)(E,1)/r! |
Ω |
0.79993298997176 |
Real period |
R |
4.2350868173801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710a2 |
Quadratic twists by: 5 |