Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410l |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-753095155276800 = -1 · 210 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31320,2516800] |
[a1,a2,a3,a4,a6] |
Generators |
[80:680:1] |
Generators of the group modulo torsion |
j |
-115501303/25600 |
j-invariant |
L |
2.6636050319809 |
L(r)(E,1)/r! |
Ω |
0.48321046857181 |
Real period |
R |
1.3780770519384 |
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 |
35280en1 490j1 22050ep1 4410s1 |
Quadratic twists by: -4 -3 5 -7 |