Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360db |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.912896E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3373185,-2290956417] |
[a1,a2,a3,a4,a6] |
Generators |
[-1089:9600:1] |
Generators of the group modulo torsion |
j |
16192145593815022369/729711914062500 |
j-invariant |
L |
8.0475209448615 |
L(r)(E,1)/r! |
Ω |
0.1117117425943 |
Real period |
R |
0.85759848112012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360t1 9840o1 118080ea1 |
Quadratic twists by: -4 8 -3 |