Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080c |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29640771417600000 = 212 · 39 · 55 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-462348,120720672] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:15092:1] |
Generators of the group modulo torsion |
j |
135574940230848/367653125 |
j-invariant |
L |
3.8378251383446 |
L(r)(E,1)/r! |
Ω |
0.37350503357921 |
Real period |
R |
2.5687907747639 |
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 |
10080bf2 20160p1 10080bj2 50400cm2 |
Quadratic twists by: -4 8 -3 5 |