Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056be |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-237960855463919616 = -1 · 221 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,-23467374] |
[a1,a2,a3,a4,a6] |
j |
189/512 |
j-invariant |
L |
0.58077516653163 |
L(r)(E,1)/r! |
Ω |
0.14519379163291 |
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 |
882a2 28224da2 7056bd1 7056bi2 |
Quadratic twists by: -4 8 -3 -7 |