Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410i |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-45722880000000 = -1 · 214 · 36 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8265,-151075] |
[a1,a2,a3,a4,a6] |
Generators |
[398:7929:1] |
Generators of the group modulo torsion |
j |
1747829720511/1280000000 |
j-invariant |
L |
2.6310166484191 |
L(r)(E,1)/r! |
Ω |
0.35829846308414 |
Real period |
R |
3.6715433074594 |
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 |
35280eg2 490k2 22050eb2 4410n2 |
Quadratic twists by: -4 -3 5 -7 |