Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176d |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
88720676352 = 29 · 38 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9651,364646] |
[a1,a2,a3,a4,a6] |
Generators |
[61:54:1] |
Generators of the group modulo torsion |
j |
266344154504/237699 |
j-invariant |
L |
4.104694408774 |
L(r)(E,1)/r! |
Ω |
1.0678451698082 |
Real period |
R |
0.96097602087562 |
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 |
22176u4 44352w4 7392i2 |
Quadratic twists by: -4 8 -3 |