Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410m |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10506349822500 = 22 · 36 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7800,-212500] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:250:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
2.5793807542536 |
L(r)(E,1)/r! |
Ω |
0.51512704868437 |
Real period |
R |
1.2518177607065 |
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 |
35280el2 490h2 22050es2 630e2 |
Quadratic twists by: -4 -3 5 -7 |