Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968g |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1428793344 = 211 · 37 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-367491,-85746850] |
[a1,a2,a3,a4,a6] |
j |
3676261144114946/957 |
j-invariant |
L |
0.77561798180158 |
L(r)(E,1)/r! |
Ω |
0.19390449545039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936o4 7656f4 |
Quadratic twists by: -4 -3 |