Atkin-Lehner |
2+ 3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bc |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
563200 |
Modular degree for the optimal curve |
Δ |
-4285051491400848 = -1 · 24 · 37 · 72 · 17 · 435 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-558,3149604] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:1410:1] |
Generators of the group modulo torsion |
j |
-26383748833/5877985584912 |
j-invariant |
L |
4.3037285665965 |
L(r)(E,1)/r! |
Ω |
0.34837041479956 |
Real period |
R |
0.15442358126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30702x1 |
Quadratic twists by: -3 |