Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bh |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-247808000 = -1 · 214 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1745,28657] |
[a1,a2,a3,a4,a6] |
Generators |
[29:40:1] |
Generators of the group modulo torsion |
j |
-296587984/125 |
j-invariant |
L |
5.1440558615872 |
L(r)(E,1)/r! |
Ω |
1.7256823369977 |
Real period |
R |
0.24840685484718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720de2 2420c2 38720bj2 |
Quadratic twists by: -4 8 -11 |