Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672cj |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
11796480 |
Modular degree for the optimal curve |
Δ |
-7.9414537766169E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11546139,136422258122] |
[a1,a2,a3,a4,a6] |
Generators |
[768905:68253696:125] |
Generators of the group modulo torsion |
j |
-57009414456430203097/2659576801689796608 |
j-invariant |
L |
8.4004279306162 |
L(r)(E,1)/r! |
Ω |
0.061309192874086 |
Real period |
R |
3.4254356986321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834k1 34224w1 |
Quadratic twists by: -4 -3 |