Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592w |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-21610936126697472 = -1 · 212 · 316 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157688,25065492] |
[a1,a2,a3,a4,a6] |
Generators |
[196:-1314:1] [-242:7008:1] |
Generators of the group modulo torsion |
j |
-105867450150549625/5276107452807 |
j-invariant |
L |
11.745310881618 |
L(r)(E,1)/r! |
Ω |
0.37802023671559 |
Real period |
R |
0.97095586268629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037b2 |
Quadratic twists by: -4 |