Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560bj |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1824444518400 = 212 · 34 · 52 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3176,-21840] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:120:1] |
Generators of the group modulo torsion |
j |
865250742889/445421025 |
j-invariant |
L |
4.9715015733423 |
L(r)(E,1)/r! |
Ω |
0.67230801085136 |
Real period |
R |
1.8486696142004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018434 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7035g2 |
Quadratic twists by: -4 |