Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880j |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
223646720 = 210 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11+ -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2421,-46661] |
[a1,a2,a3,a4,a6] |
Generators |
[70:363:1] [71:380:1] |
Generators of the group modulo torsion |
j |
1533160062976/218405 |
j-invariant |
L |
5.7422437378382 |
L(r)(E,1)/r! |
Ω |
0.68059635966662 |
Real period |
R |
4.2185383864201 |
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 |
66880cm1 4180c1 |
Quadratic twists by: -4 8 |