Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488dc |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-6171703735320576 = -1 · 215 · 33 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 1 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45855,34209] |
[a1,a2,a3,a4,a6] |
Generators |
[3065:170072:1] |
Generators of the group modulo torsion |
j |
46648/27 |
j-invariant |
L |
6.600643041134 |
L(r)(E,1)/r! |
Ω |
0.2538374493566 |
Real period |
R |
6.5008562151129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488ed1 27744n1 55488do1 |
Quadratic twists by: -4 8 17 |