Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480q |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.177305675975E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1189113,-153065734] |
[a1,a2,a3,a4,a6] |
Generators |
[787:35640:1] |
Generators of the group modulo torsion |
j |
996381372425164976/630843662109375 |
j-invariant |
L |
6.6222234445574 |
L(r)(E,1)/r! |
Ω |
0.10719381458873 |
Real period |
R |
1.5444509251644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bp1 17160o1 |
Quadratic twists by: -4 -3 |