Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bh |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.6715404049397E+35 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44218752600,47180208739068144] |
[a1,a2,a3,a4,a6] |
Generators |
[-551324042263471754966730539395281383121782653159397523839155543914528650128818735:322619516061935154765580115882594240298444235174190595756291118661203325824612108692:2225326816719106506284121276201025380667747983929307850186829414675665366409] |
Generators of the group modulo torsion |
j |
483641001192506212470106511/48918776756543177755473774 |
j-invariant |
L |
6.7970058353609 |
L(r)(E,1)/r! |
Ω |
0.0067524146118821 |
Real period |
R |
125.82546811107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154m2 6864j2 |
Quadratic twists by: -4 13 |