Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718a |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3255069857024133434 = -1 · 2 · 1110 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4720173,-3950084081] |
[a1,a2,a3,a4,a6] |
Generators |
[537683697:-88848582884:19683] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
1.6986380955769 |
L(r)(E,1)/r! |
Ω |
0.051212122584529 |
Real period |
R |
8.2921679958355 |
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 |
29744ba2 118976bc2 33462cv2 92950bm2 |
Quadratic twists by: -4 8 -3 5 |