Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6360f |
Isogeny class |
Conductor |
6360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
2442240 = 210 · 32 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,240] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
55990084/2385 |
j-invariant |
L |
4.5332943556728 |
L(r)(E,1)/r! |
Ω |
2.5526267794535 |
Real period |
R |
1.7759330867176 |
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 |
12720f1 50880l1 19080j1 31800s1 |
Quadratic twists by: -4 8 -3 5 |