Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32120a |
Isogeny class |
Conductor |
32120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
1337974785563696720 = 24 · 5 · 1112 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-599402,-169726991] |
[a1,a2,a3,a4,a6] |
Generators |
[-266204790:-494648803:729000] |
Generators of the group modulo torsion |
j |
1488532401607814608896/83623424097731045 |
j-invariant |
L |
5.563735440557 |
L(r)(E,1)/r! |
Ω |
0.17218246313869 |
Real period |
R |
10.771006793483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64240d1 |
Quadratic twists by: -4 |