Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590br |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
12748327430400 = 28 · 38 · 52 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13838,605981] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:841:1] [-105:997:1] |
Generators of the group modulo torsion |
j |
401963611541401/17487417600 |
j-invariant |
L |
11.746996580976 |
L(r)(E,1)/r! |
Ω |
0.70311297776156 |
Real period |
R |
1.0441953278241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530r2 |
Quadratic twists by: -3 |