Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080b |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43411046400 = 223 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-251201,-48375999] |
[a1,a2,a3,a4,a6] |
Generators |
[2449:118400:1] |
Generators of the group modulo torsion |
j |
6687281588245201/165600 |
j-invariant |
L |
4.2387085507619 |
L(r)(E,1)/r! |
Ω |
0.21325247008565 |
Real period |
R |
4.9691201103784 |
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 |
22080cq2 690j2 66240cv2 110400dn2 |
Quadratic twists by: -4 8 -3 5 |