Atkin-Lehner |
3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40401q |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-39764328842524203 = -1 · 38 · 677 |
Discriminant |
Eigenvalues |
-2 3- 0 0 -6 -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,67335,6842358] |
[a1,a2,a3,a4,a6] |
Generators |
[1474:40397:8] |
Generators of the group modulo torsion |
j |
512000/603 |
j-invariant |
L |
2.0786498385094 |
L(r)(E,1)/r! |
Ω |
0.24261651321701 |
Real period |
R |
1.0709544307954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13467k1 603d1 |
Quadratic twists by: -3 -67 |