Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410o |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-70013160 = -1 · 23 · 36 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,405] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-49/40 |
j-invariant |
L |
2.9108129453348 |
L(r)(E,1)/r! |
Ω |
1.574773397008 |
Real period |
R |
0.3080668569909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280fa1 490e1 22050du1 4410k1 |
Quadratic twists by: -4 -3 5 -7 |