Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360d |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
18439680 = 29 · 3 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176,936] |
[a1,a2,a3,a4,a6] |
Generators |
[13:26:1] |
Generators of the group modulo torsion |
j |
1184287112/36015 |
j-invariant |
L |
2.6895047136659 |
L(r)(E,1)/r! |
Ω |
2.1679177255896 |
Real period |
R |
2.4811870689736 |
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 |
3360t2 6720z4 10080bx2 16800ca3 |
Quadratic twists by: -4 8 -3 5 |