Atkin-Lehner |
2+ 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874b |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17251938 = -1 · 2 · 32 · 112 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50,222] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:17:1] |
Generators of the group modulo torsion |
j |
-14260515625/17251938 |
j-invariant |
L |
2.1326024480526 |
L(r)(E,1)/r! |
Ω |
1.9820379459832 |
Real period |
R |
0.53798224508633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46992l2 17622i2 64614m2 |
Quadratic twists by: -4 -3 -11 |