Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048be |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4519967588352 = 220 · 310 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 2 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,-39760] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:128:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
4.8824121761309 |
L(r)(E,1)/r! |
Ω |
0.62026026733334 |
Real period |
R |
1.9678884950668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048cn1 1314g1 14016p1 |
Quadratic twists by: -4 8 -3 |