Atkin-Lehner |
2+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298c |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-2723196804005888 = -1 · 219 · 78 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3468523,-2485499899] |
[a1,a2,a3,a4,a6] |
Generators |
[190373416420078080683667772287:28213495783237062962310101391646:8547112938505396550354613] |
Generators of the group modulo torsion |
j |
-800521864986420297/472383488 |
j-invariant |
L |
8.0199529465043 |
L(r)(E,1)/r! |
Ω |
0.05531378701255 |
Real period |
R |
48.330041988054 |
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 |
88298j1 |
Quadratic twists by: -7 |