Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880j |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
587174297600 = 214 · 52 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11+ -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2641,-37905] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:56:1] [-38:95:1] |
Generators of the group modulo torsion |
j |
124386546256/35838275 |
j-invariant |
L |
5.7422437378382 |
L(r)(E,1)/r! |
Ω |
0.68059635966662 |
Real period |
R |
1.054634596605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880cm2 4180c2 |
Quadratic twists by: -4 8 |