Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640dg |
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 |
[-455:18850:1] |
Generators of the group modulo torsion |
j |
58892745767525579456/2437617299336314225 |
j-invariant |
L |
4.3029101924254 |
L(r)(E,1)/r! |
Ω |
0.13805714903389 |
Real period |
R |
1.5583800840428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999120189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640dd1 60320m2 |
Quadratic twists by: -4 8 |