Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139f |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.32248560455E+24 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 3 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7844889787,267438664893297] |
[a1,a2,a3,a4,a6] |
Generators |
[31731646319124:41440413423889:618470208] |
Generators of the group modulo torsion |
j |
-360675992659311050823073792/56219378022244619 |
j-invariant |
L |
4.3667509751781 |
L(r)(E,1)/r! |
Ω |
0.057654747593281 |
Real period |
R |
9.467457489327 |
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 |
2093f3 |
Quadratic twists by: -23 |