Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bh |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1351440384000000 = 217 · 3 · 56 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-398616,96984816] |
[a1,a2,a3,a4,a6] |
Generators |
[236:4000:1] |
Generators of the group modulo torsion |
j |
1710129639358545049/329941500000 |
j-invariant |
L |
3.6180304082562 |
L(r)(E,1)/r! |
Ω |
0.46753834202874 |
Real period |
R |
0.96730847723192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070c2 |
Quadratic twists by: -4 |