Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280d |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3406386180915200 = 219 · 52 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38561,767935] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1715:1] |
Generators of the group modulo torsion |
j |
24190225473961/12994332050 |
j-invariant |
L |
2.962333954494 |
L(r)(E,1)/r! |
Ω |
0.3897411657733 |
Real period |
R |
1.9001931357703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280y2 3290d2 |
Quadratic twists by: -4 8 |