Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718i |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-14872 = -1 · 23 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 2 4 2 11- 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,5] |
[a1,a2,a3,a4,a6] |
j |
-28561/88 |
j-invariant |
L |
3.4660669964353 |
L(r)(E,1)/r! |
Ω |
3.4660669964353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744u1 118976q1 33462cq1 92950cl1 |
Quadratic twists by: -4 8 -3 5 |