Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550d |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.5926772537675E+32 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41008587500,-3138210896931000] |
[a1,a2,a3,a4,a6] |
Generators |
[15122257626598050081243813245862317154802389640820243423180525786706966658745338727413888775457377605075296372414763419126637:-10815662207038055684532476074041031672850519166638642297607050480213102983533912330504925457165292981478756337234823144722035698:25656035535778318250605235541159553027002269982007560056518116063782656292089676289152426689012371784990253677795354417] |
Generators of the group modulo torsion |
j |
488121703486772881794230641464001/10193134424111701474411057320 |
j-invariant |
L |
3.8813014325924 |
L(r)(E,1)/r! |
Ω |
0.01062263690206 |
Real period |
R |
182.69011114555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bp4 |
Quadratic twists by: 5 |