Atkin-Lehner |
3- 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118755l |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10125273140871525 = 310 · 52 · 72 · 136 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98334,-10811885] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:737:1] |
Generators of the group modulo torsion |
j |
144247994879290849/13889263567725 |
j-invariant |
L |
8.2518221010081 |
L(r)(E,1)/r! |
Ω |
0.27126959160105 |
Real period |
R |
2.53493890214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585a2 |
Quadratic twists by: -3 |