Atkin-Lehner |
2+ 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496a |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
2904056064 = 28 · 38 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-684,-6156] |
[a1,a2,a3,a4,a6] |
Generators |
[46:240:1] |
Generators of the group modulo torsion |
j |
138448046032/11343969 |
j-invariant |
L |
3.1996636537803 |
L(r)(E,1)/r! |
Ω |
0.93829190626479 |
Real period |
R |
3.4100940575306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992x1 124488bf1 |
Quadratic twists by: -4 -3 |