Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1098l |
Isogeny class |
Conductor |
1098 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-129671604 = -1 · 22 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41,-547] |
[a1,a2,a3,a4,a6] |
j |
-10218313/177876 |
j-invariant |
L |
3.1842843288387 |
L(r)(E,1)/r! |
Ω |
0.79607108220967 |
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 |
8784y1 35136r1 366f1 27450u1 |
Quadratic twists by: -4 8 -3 5 |