Atkin-Lehner |
2- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39664g |
Isogeny class |
Conductor |
39664 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
58209617152 = 28 · 373 · 672 |
Discriminant |
Eigenvalues |
2- -1 0 1 -3 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10733,-424271] |
[a1,a2,a3,a4,a6] |
Generators |
[305:4958:1] |
Generators of the group modulo torsion |
j |
534179968000000/227381317 |
j-invariant |
L |
3.9158380129127 |
L(r)(E,1)/r! |
Ω |
0.46905848363208 |
Real period |
R |
0.69569114683221 |
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 |
9916d1 |
Quadratic twists by: -4 |