Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640dd |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4341760 |
Modular degree for the optimal curve |
Δ |
-1.5600750715752E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,324220,-596831950] |
[a1,a2,a3,a4,a6] |
Generators |
[31478070:997338797:27000] |
Generators of the group modulo torsion |
j |
58892745767525579456/2437617299336314225 |
j-invariant |
L |
13.400276869202 |
L(r)(E,1)/r! |
Ω |
0.087524952896524 |
Real period |
R |
7.6551179619109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640dg1 60320o2 |
Quadratic twists by: -4 8 |