Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cz |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-5553856 = -1 · 26 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,-311] |
[a1,a2,a3,a4,a6] |
Generators |
[16:53:1] |
Generators of the group modulo torsion |
j |
-799178752/86779 |
j-invariant |
L |
2.454757399825 |
L(r)(E,1)/r! |
Ω |
0.80006442415504 |
Real period |
R |
3.068199685823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999938871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bv1 28336bg1 |
Quadratic twists by: -4 8 |