Atkin-Lehner |
2- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39664g |
Isogeny class |
Conductor |
39664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
856821795904768 = 28 · 37 · 676 |
Discriminant |
Eigenvalues |
2- -1 0 1 -3 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31453,1631153] |
[a1,a2,a3,a4,a6] |
Generators |
[39505:601526:125] |
Generators of the group modulo torsion |
j |
13442615581696000/3346960140253 |
j-invariant |
L |
3.9158380129127 |
L(r)(E,1)/r! |
Ω |
0.46905848363208 |
Real period |
R |
2.0870734404966 |
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 |
9916d2 |
Quadratic twists by: -4 |