Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898x |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-31136956136 = -1 · 23 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ -1 -3 3 11- 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,361,8221] |
[a1,a2,a3,a4,a6] |
Generators |
[83:745:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
3.0938681824242 |
L(r)(E,1)/r! |
Ω |
0.84853627015636 |
Real period |
R |
0.9115309183713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338e1 40898ca1 |
Quadratic twists by: -11 13 |