Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360c |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
226842638400 = 26 · 310 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19846,-1069280] |
[a1,a2,a3,a4,a6] |
Generators |
[2808:148580:1] |
Generators of the group modulo torsion |
j |
13507798771700416/3544416225 |
j-invariant |
L |
2.7422267596286 |
L(r)(E,1)/r! |
Ω |
0.40224098819306 |
Real period |
R |
6.817372769362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3360k1 6720ci2 10080bz1 16800bz1 |
Quadratic twists by: -4 8 -3 5 |