Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650df |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
4459568400000000 = 210 · 34 · 58 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127838,-17307708] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:430:1] |
Generators of the group modulo torsion |
j |
14787126942253849/285412377600 |
j-invariant |
L |
12.120113680129 |
L(r)(E,1)/r! |
Ω |
0.25278060859199 |
Real period |
R |
1.1986791379711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130b2 |
Quadratic twists by: 5 |