Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5236b |
Isogeny class |
Conductor |
5236 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-583844662016 = -1 · 28 · 72 · 115 · 172 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1384,41764] |
[a1,a2,a3,a4,a6] |
Generators |
[16:154:1] [-12:238:1] |
Generators of the group modulo torsion |
j |
-1145228156928/2280643211 |
j-invariant |
L |
2.847113414488 |
L(r)(E,1)/r! |
Ω |
0.81792816011025 |
Real period |
R |
0.058014740848484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20944k1 83776e1 47124j1 36652s1 |
Quadratic twists by: -4 8 -3 -7 |