Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bl |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
21159225000000 = 26 · 39 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11637,429516] |
[a1,a2,a3,a4,a6] |
Generators |
[12:540:1] |
Generators of the group modulo torsion |
j |
138348848448/16796875 |
j-invariant |
L |
8.1975436700586 |
L(r)(E,1)/r! |
Ω |
0.65761353186068 |
Real period |
R |
1.5581993208331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920k1 123840i1 61920b1 |
Quadratic twists by: -4 8 -3 |