Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bl |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
176155842852 = 22 · 39 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6590,-203255] |
[a1,a2,a3,a4,a6] |
Generators |
[-6095:5281:125] |
Generators of the group modulo torsion |
j |
1207949625/6724 |
j-invariant |
L |
13.120032159043 |
L(r)(E,1)/r! |
Ω |
0.53006473587752 |
Real period |
R |
6.1879385955442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298a2 89298b2 |
Quadratic twists by: -3 -11 |