Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65072q |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
31135551845776 = 24 · 710 · 832 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -5 -6 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159266,24409811] |
[a1,a2,a3,a4,a6] |
Generators |
[227:71:1] |
Generators of the group modulo torsion |
j |
98854233856/6889 |
j-invariant |
L |
4.9116007836325 |
L(r)(E,1)/r! |
Ω |
0.62679580620642 |
Real period |
R |
3.918023010914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16268g1 65072n1 |
Quadratic twists by: -4 -7 |