Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
7120d |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
569600 = 28 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-476,4160] |
[a1,a2,a3,a4,a6] |
Generators |
[4:48:1] |
Generators of the group modulo torsion |
j |
46689225424/2225 |
j-invariant |
L |
5.2884763040075 |
L(r)(E,1)/r! |
Ω |
2.7420853057136 |
Real period |
R |
1.9286330344968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3560d2 28480bp2 64080k2 35600d2 |
Quadratic twists by: -4 8 -3 5 |