Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bl |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
539642250000000000 = 210 · 38 · 512 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615387,-182418266] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:50:1] |
Generators of the group modulo torsion |
j |
34525595645446756/722900390625 |
j-invariant |
L |
6.569498105542 |
L(r)(E,1)/r! |
Ω |
0.17067324752233 |
Real period |
R |
3.2076390351372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480ba3 |
Quadratic twists by: -3 |