Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560m |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
97499183846400 = 210 · 33 · 52 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102296,-12618396] |
[a1,a2,a3,a4,a6] |
Generators |
[414:4020:1] |
Generators of the group modulo torsion |
j |
115612277717093476/95214046725 |
j-invariant |
L |
8.9523812461408 |
L(r)(E,1)/r! |
Ω |
0.26696603366267 |
Real period |
R |
1.3972409907953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280o4 |
Quadratic twists by: -4 |