Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bm |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
226759808000 = 210 · 53 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20005,1095525] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1815:1] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
8.8360276231827 |
L(r)(E,1)/r! |
Ω |
0.96970729909312 |
Real period |
R |
1.5186760705084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720dn3 2420e3 320c3 |
Quadratic twists by: -4 8 -11 |