Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600df |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2.8715168859527E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35545008,2476784988] |
[a1,a2,a3,a4,a6] |
Generators |
[9123:661500:1] |
Generators of the group modulo torsion |
j |
5276930158229192/3050936350875 |
j-invariant |
L |
7.1503531795026 |
L(r)(E,1)/r! |
Ω |
0.068194673541565 |
Real period |
R |
1.3106509689836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600fc3 23520bl3 16800e3 |
Quadratic twists by: -4 5 -7 |