Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350cb |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
Δ |
2029054860000000000 = 211 · 38 · 510 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12541132188,540570562846992] |
[a1,a2,a3,a4,a6] |
Generators |
[64656:-32436:1] |
Generators of the group modulo torsion |
j |
13960916274686234686150768241401/129859511040000 |
j-invariant |
L |
11.513229497016 |
L(r)(E,1)/r! |
Ω |
0.089043569566087 |
Real period |
R |
0.73465245167183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870d2 |
Quadratic twists by: 5 |