Atkin-Lehner |
3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7569a |
Isogeny class |
Conductor |
7569 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22040 |
Modular degree for the optimal curve |
Δ |
-11359095299105427 = -1 · 33 · 2910 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,5127787] |
[a1,a2,a3,a4,a6] |
Generators |
[115:2578:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.2989913022992 |
L(r)(E,1)/r! |
Ω |
0.3203347168771 |
Real period |
R |
5.1492878050506 |
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 |
121104ba1 7569a2 7569b1 |
Quadratic twists by: -4 -3 29 |