Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736z |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-69188866788995072 = -1 · 212 · 77 · 295 |
Discriminant |
Eigenvalues |
2- -1 4 7- -2 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1685861,-842054387] |
[a1,a2,a3,a4,a6] |
Generators |
[1194355508484:-379105222134205:11852352] |
Generators of the group modulo torsion |
j |
-1099616058781696/143578043 |
j-invariant |
L |
5.2875836052899 |
L(r)(E,1)/r! |
Ω |
0.066246157752396 |
Real period |
R |
19.95430295389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421e2 90944dv2 3248g2 |
Quadratic twists by: -4 8 -7 |