Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298cf |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1533312 |
Modular degree for the optimal curve |
Δ |
-167452635722246424 = -1 · 23 · 39 · 1110 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,63139,-18732931] |
[a1,a2,a3,a4,a6] |
j |
1472207/8856 |
j-invariant |
L |
8.706985547869 |
L(r)(E,1)/r! |
Ω |
0.16124047609788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766w1 89298bg1 |
Quadratic twists by: -3 -11 |