Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848be |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1462546907136 = -1 · 214 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380485,90207971] |
[a1,a2,a3,a4,a6] |
Generators |
[350:189:1] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
7.2342734012853 |
L(r)(E,1)/r! |
Ω |
0.67765579258427 |
Real period |
R |
0.38126569567637 |
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 |
22848bq1 2856e1 68544ci1 |
Quadratic twists by: -4 8 -3 |