Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056bw |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-233270525472768 = -1 · 212 · 319 · 72 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131376,18343024] |
[a1,a2,a3,a4,a6] |
j |
-1713910976512/1594323 |
j-invariant |
L |
1.1085435467358 |
L(r)(E,1)/r! |
Ω |
0.55427177336791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
441f2 28224fq2 2352u2 7056bm2 |
Quadratic twists by: -4 8 -3 -7 |