Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ec |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-14739000000 = -1 · 26 · 3 · 56 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5933,-177987] |
[a1,a2,a3,a4,a6] |
Generators |
[6865572:62578617:50653] |
Generators of the group modulo torsion |
j |
-23100424192/14739 |
j-invariant |
L |
10.131116252188 |
L(r)(E,1)/r! |
Ω |
0.27197454131252 |
Real period |
R |
12.416745820911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600gt2 1275a2 3264e2 |
Quadratic twists by: -4 8 5 |