Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980v |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
35698550065920 = 28 · 314 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8276,-39516] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:342:1] [100:378:1] |
Generators of the group modulo torsion |
j |
714008773168/406552365 |
j-invariant |
L |
10.328925139879 |
L(r)(E,1)/r! |
Ω |
0.54117749027467 |
Real period |
R |
0.90885816008314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49980q2 |
Quadratic twists by: -7 |