Atkin-Lehner |
2+ 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920r |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1636352640000 = 210 · 32 · 54 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35536,2565860] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:2214:1] |
Generators of the group modulo torsion |
j |
4846649352098116/1598000625 |
j-invariant |
L |
8.1979369978161 |
L(r)(E,1)/r! |
Ω |
0.82597829205192 |
Real period |
R |
2.4812810199161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999537586 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63960b2 |
Quadratic twists by: -4 |