Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cp |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-461960190105370152 = -1 · 23 · 3 · 77 · 174 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112162,-35763988] |
[a1,a2,a3,a4,a6] |
Generators |
[569710:8952451:1000] |
Generators of the group modulo torsion |
j |
-1326395220521617/3926596827048 |
j-invariant |
L |
16.366371714946 |
L(r)(E,1)/r! |
Ω |
0.12064286394786 |
Real period |
R |
11.304972911567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422o4 |
Quadratic twists by: -7 |