Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
3280g |
Isogeny class |
Conductor |
3280 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
689210000000000 = 210 · 510 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31307,1717706] |
[a1,a2,a3,a4,a6] |
Generators |
[157:820:1] |
Generators of the group modulo torsion |
j |
3313966509875844/673056640625 |
j-invariant |
L |
3.3698128930991 |
L(r)(E,1)/r! |
Ω |
0.48239463444515 |
Real period |
R |
0.23285312152328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1640d1 13120bh1 29520h1 16400h1 |
Quadratic twists by: -4 8 -3 5 |