Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
980d |
Isogeny class |
Conductor |
980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-26353376000 = -1 · 28 · 53 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,8065] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:98:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
2.0479221272237 |
L(r)(E,1)/r! |
Ω |
1.0078659084345 |
Real period |
R |
0.16932825670603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3920u1 15680bo1 8820bb1 4900f1 |
Quadratic twists by: -4 8 -3 5 |