Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bc |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1250761716006912 = -1 · 219 · 312 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15564,-1858448] |
[a1,a2,a3,a4,a6] |
Generators |
[2045108:-61760880:2197] |
Generators of the group modulo torsion |
j |
-2181825073/6544962 |
j-invariant |
L |
6.8088158874259 |
L(r)(E,1)/r! |
Ω |
0.19755408778966 |
Real period |
R |
8.6163945828814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bw2 1206b2 12864u2 |
Quadratic twists by: -4 8 -3 |