Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298n |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1.6902374655237E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11141037,-14296734171] |
[a1,a2,a3,a4,a6] |
Generators |
[-23985343:-5790033:12167] |
Generators of the group modulo torsion |
j |
118417788018699625/130877227008 |
j-invariant |
L |
5.3158692619576 |
L(r)(E,1)/r! |
Ω |
0.082641267259246 |
Real period |
R |
8.0405792451423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bp1 8118q1 |
Quadratic twists by: -3 -11 |