Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720g |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
156464267520 = 28 · 3 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1396,6880] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:22:1] |
Generators of the group modulo torsion |
j |
1176118452304/611188545 |
j-invariant |
L |
5.5421443544676 |
L(r)(E,1)/r! |
Ω |
0.90184163089541 |
Real period |
R |
2.0484543941454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bc2 |
Quadratic twists by: -4 |