Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840by |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
795036155904000 = 219 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-769548,-259833872] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:351:1] |
Generators of the group modulo torsion |
j |
263732349218689/4160250 |
j-invariant |
L |
7.3222022241504 |
L(r)(E,1)/r! |
Ω |
0.16119109193299 |
Real period |
R |
5.6782001155162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840eq2 3870g2 41280bs2 |
Quadratic twists by: -4 8 -3 |