Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920er |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
786839961600 = 216 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3521,69345] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:385:1] |
Generators of the group modulo torsion |
j |
73682642884/12006225 |
j-invariant |
L |
4.8520614589592 |
L(r)(E,1)/r! |
Ω |
0.85623976579742 |
Real period |
R |
1.4166772125136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000714 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920ch2 18480bh2 |
Quadratic twists by: -4 8 |