Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360g |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-533311672320 = -1 · 212 · 312 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,34945] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:168:1] |
Generators of the group modulo torsion |
j |
1012048064/130203045 |
j-invariant |
L |
3.2531235714726 |
L(r)(E,1)/r! |
Ω |
0.71153908603814 |
Real period |
R |
2.2859767195546 |
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 |
3360v4 6720s1 10080bp4 16800br4 |
Quadratic twists by: -4 8 -3 5 |