Atkin-Lehner |
2+ 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
80712d |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-50836937472 = -1 · 28 · 311 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -4 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,10852] |
[a1,a2,a3,a4,a6] |
Generators |
[26:162:1] |
Generators of the group modulo torsion |
j |
-351232/272403 |
j-invariant |
L |
6.6870887383803 |
L(r)(E,1)/r! |
Ω |
0.90976283062779 |
Real period |
R |
0.4593978035999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26904c1 |
Quadratic twists by: -3 |