Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560a |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2502217785600 = 28 · 34 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3436,-13664] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:216:1] |
Generators of the group modulo torsion |
j |
3631696/2025 |
j-invariant |
L |
3.1801748518328 |
L(r)(E,1)/r! |
Ω |
0.66921527656589 |
Real period |
R |
2.3760477108014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20280k2 121680bh2 240a2 |
Quadratic twists by: -4 -3 13 |