Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880cd |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
81977927523287040 = 214 · 320 · 5 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-509496,139128660] |
[a1,a2,a3,a4,a6] |
Generators |
[516:3726:1] |
Generators of the group modulo torsion |
j |
3570976176375594169/20014142461740 |
j-invariant |
L |
5.8212612830967 |
L(r)(E,1)/r! |
Ω |
0.34389477542186 |
Real period |
R |
1.6927449031938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610c3 |
Quadratic twists by: -4 |