Atkin-Lehner |
3- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805k |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42742430316495 = 38 · 5 · 74 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42593,-3358078] |
[a1,a2,a3,a4,a6] |
Generators |
[-930:1343:8] [-113:105:1] |
Generators of the group modulo torsion |
j |
11721989163374281/58631591655 |
j-invariant |
L |
6.1696643355316 |
L(r)(E,1)/r! |
Ω |
0.33242719480307 |
Real period |
R |
9.2797226460992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935o4 |
Quadratic twists by: -3 |