Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966w |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1751837112579427776 = -1 · 26 · 34 · 77 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-304756,-90948080] |
[a1,a2,a3,a4,a6] |
j |
-1102302937/616896 |
j-invariant |
L |
0.79221100105441 |
L(r)(E,1)/r! |
Ω |
0.099026364629675 |
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 |
12138h1 4998q1 |
Quadratic twists by: -7 17 |