Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188b |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6409955467931904 = -1 · 28 · 33 · 712 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35721,2843470] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1070:1] |
Generators of the group modulo torsion |
j |
6198727824/7882483 |
j-invariant |
L |
7.6855973002944 |
L(r)(E,1)/r! |
Ω |
0.28408112101408 |
Real period |
R |
4.5090391183125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999968428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118188d2 16884d2 |
Quadratic twists by: -3 -7 |