Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800br |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84600000000 = 29 · 32 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12408,-527688] |
[a1,a2,a3,a4,a6] |
Generators |
[180691:4041750:343] |
Generators of the group modulo torsion |
j |
26410345352/10575 |
j-invariant |
L |
7.1102357163962 |
L(r)(E,1)/r! |
Ω |
0.45235732600313 |
Real period |
R |
7.8590920229165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800p2 22560b2 |
Quadratic twists by: -4 5 |