Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bb |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3169089306726000000 = 27 · 3 · 56 · 72 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2454726,-1478034152] |
[a1,a2,a3,a4,a6] |
Generators |
[1699730:-197678171:125] |
Generators of the group modulo torsion |
j |
104691759681158120017/202821715630464 |
j-invariant |
L |
5.7071575376944 |
L(r)(E,1)/r! |
Ω |
0.12062834359393 |
Real period |
R |
11.827977918938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974e2 |
Quadratic twists by: 5 |