Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937k |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-126588005294013 = -1 · 37 · 17 · 237 |
Discriminant |
Eigenvalues |
1 3- -4 2 5 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95319,11363854] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:4850:1] |
Generators of the group modulo torsion |
j |
-887503681/1173 |
j-invariant |
L |
6.6682703360195 |
L(r)(E,1)/r! |
Ω |
0.58537128828751 |
Real period |
R |
0.71197017084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26979f1 3519h1 |
Quadratic twists by: -3 -23 |