Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064v |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52190702523648 = 28 · 32 · 137 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4229788,3346903184] |
[a1,a2,a3,a4,a6] |
j |
6772976019826000/42237 |
j-invariant |
L |
3.4582860638399 |
L(r)(E,1)/r! |
Ω |
0.43228575927382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5928e2 |
Quadratic twists by: 13 |