Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824k |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
205767159808 = 212 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 1 4 7- 3 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5896,170932] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:490:1] |
Generators of the group modulo torsion |
j |
47045881/427 |
j-invariant |
L |
10.000579365132 |
L(r)(E,1)/r! |
Ω |
1.0066639372076 |
Real period |
R |
1.2417971623267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2989a1 6832g1 |
Quadratic twists by: -4 -7 |