Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656g |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
74507224337539072 = 213 · 717 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -2 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122664,-10088908] |
[a1,a2,a3,a4,a6] |
Generators |
[1396:50410:1] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
5.6588586529088 |
L(r)(E,1)/r! |
Ω |
0.2629002506925 |
Real period |
R |
1.3452960389486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082d1 1136e1 |
Quadratic twists by: -4 -71 |