Atkin-Lehner |
3+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469b |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
282538661811 = 3 · 78 · 17 · 312 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 6 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13549,-612170] |
[a1,a2,a3,a4,a6] |
j |
2338337977417/2401539 |
j-invariant |
L |
3.540261477846 |
L(r)(E,1)/r! |
Ω |
0.44253268198245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067g2 |
Quadratic twists by: -7 |