Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848ce |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-6484100856746655744 = -1 · 214 · 39 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -5 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9841909,-11881474259] |
[a1,a2,a3,a4,a6] |
Generators |
[17664794935709813968540245297756909437220:2636267444682229482573887730934121955834121:777187252769039039877900011575310341] |
Generators of the group modulo torsion |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
5.4746952913027 |
L(r)(E,1)/r! |
Ω |
0.042618495710687 |
Real period |
R |
64.229100534981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848y1 5712y1 68544ez1 |
Quadratic twists by: -4 8 -3 |