Atkin-Lehner |
2- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bm |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2931568640000 = 215 · 54 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3587,-7166] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:110:1] [-47:240:1] |
Generators of the group modulo torsion |
j |
1246114341081/715715000 |
j-invariant |
L |
10.902203338741 |
L(r)(E,1)/r! |
Ω |
0.67021254712059 |
Real period |
R |
1.016674056015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010j2 |
Quadratic twists by: -4 |