Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360b |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1701000000000000 = -1 · 212 · 35 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11761,2048065] |
[a1,a2,a3,a4,a6] |
Generators |
[1779:74888:1] |
Generators of the group modulo torsion |
j |
-43927191786304/415283203125 |
j-invariant |
L |
2.755244258756 |
L(r)(E,1)/r! |
Ω |
0.40344512945433 |
Real period |
R |
6.8292911665152 |
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 |
3360u4 6720ba1 10080by4 16800bx4 |
Quadratic twists by: -4 8 -3 5 |