Atkin-Lehner |
23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80063a |
Isogeny class |
Conductor |
80063 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-1316496635469251 = -1 · 232 · 597 |
Discriminant |
Eigenvalues |
1 1 -3 1 0 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181085,29696167] |
[a1,a2,a3,a4,a6] |
Generators |
[-359:7141:1] |
Generators of the group modulo torsion |
j |
-15568817473/31211 |
j-invariant |
L |
5.2975041649859 |
L(r)(E,1)/r! |
Ω |
0.48325978223328 |
Real period |
R |
1.3702526985917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1357a1 |
Quadratic twists by: -59 |