Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688q |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
6132422575964928 = 28 · 3 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8385388,9348947308] |
[a1,a2,a3,a4,a6] |
Generators |
[14107352847:8415699970:8365427] |
Generators of the group modulo torsion |
j |
31899394000/3 |
j-invariant |
L |
5.0721620167307 |
L(r)(E,1)/r! |
Ω |
0.32599498617831 |
Real period |
R |
15.559018487347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172g2 80688w2 |
Quadratic twists by: -4 41 |