Atkin-Lehner |
3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997l |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5733653608526991021 = -1 · 36 · 78 · 196 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,182303,111257045] |
[a1,a2,a3,a4,a6] |
Generators |
[161750:22924207:8] |
Generators of the group modulo torsion |
j |
5695349014881287/48735251540829 |
j-invariant |
L |
6.3067189636931 |
L(r)(E,1)/r! |
Ω |
0.17564841734829 |
Real period |
R |
5.9842260089194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571f2 |
Quadratic twists by: -7 |