Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270n |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2354643846481249260 = 22 · 320 · 5 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1560333,746422828] |
[a1,a2,a3,a4,a6] |
Generators |
[782:1755:1] |
Generators of the group modulo torsion |
j |
3570976176375594169/20014142461740 |
j-invariant |
L |
6.7999752597602 |
L(r)(E,1)/r! |
Ω |
0.2599600151259 |
Real period |
R |
2.615777374927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610c3 |
Quadratic twists by: -7 |