Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056bi |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2022633897984 = -1 · 221 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,68418] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:162:1] |
Generators of the group modulo torsion |
j |
189/512 |
j-invariant |
L |
4.8971207862988 |
L(r)(E,1)/r! |
Ω |
0.65012732332965 |
Real period |
R |
1.883139121587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
882b2 28224ec2 7056bj1 7056be2 |
Quadratic twists by: -4 8 -3 -7 |