Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192l |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6984172672686042624 = 29 · 34 · 712 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6308864,6100005864] |
[a1,a2,a3,a4,a6] |
Generators |
[1469:414:1] |
Generators of the group modulo torsion |
j |
461019267341732744/115946266023 |
j-invariant |
L |
3.8520873094196 |
L(r)(E,1)/r! |
Ω |
0.2303866642566 |
Real period |
R |
2.7866827852337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bu2 15456f2 |
Quadratic twists by: -4 -7 |