Atkin-Lehner |
7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40733b |
Isogeny class |
Conductor |
40733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-12846406411531 = -1 · 73 · 11 · 237 |
Discriminant |
Eigenvalues |
0 -2 -3 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10227,-437253] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3438:1] |
Generators of the group modulo torsion |
j |
-799178752/86779 |
j-invariant |
L |
1.6987777530988 |
L(r)(E,1)/r! |
Ω |
0.23592612749472 |
Real period |
R |
1.8001161752821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771c1 |
Quadratic twists by: -23 |