Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bb |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2018525184 = -1 · 214 · 36 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,2160] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:45:1] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
4.3985332365196 |
L(r)(E,1)/r! |
Ω |
1.1440402412495 |
Real period |
R |
1.922368234056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488cb2 468c2 832d2 97344cd2 |
Quadratic twists by: -4 8 -3 13 |