Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298m |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6249431232 = 26 · 39 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 6 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1557,23733] |
[a1,a2,a3,a4,a6] |
Generators |
[18:27:1] |
Generators of the group modulo torsion |
j |
4734057625/70848 |
j-invariant |
L |
4.6810968980977 |
L(r)(E,1)/r! |
Ω |
1.3436712607515 |
Real period |
R |
0.87095278194747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766bo1 89298cl1 |
Quadratic twists by: -3 -11 |