Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080c |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4219543125000000 = 26 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40473,233172] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1738:1] |
Generators of the group modulo torsion |
j |
5820343774272/3349609375 |
j-invariant |
L |
3.8378251383446 |
L(r)(E,1)/r! |
Ω |
0.37350503357921 |
Real period |
R |
5.1375815495277 |
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 |
10080bf1 20160p2 10080bj1 50400cm1 |
Quadratic twists by: -4 8 -3 5 |