Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bl |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
25566091236000000 = 28 · 310 · 56 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82407,4870906] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:3290:1] |
Generators of the group modulo torsion |
j |
331625968043344/136992515625 |
j-invariant |
L |
6.569498105542 |
L(r)(E,1)/r! |
Ω |
0.34134649504466 |
Real period |
R |
1.6038195175686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081387 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480ba2 |
Quadratic twists by: -3 |