Atkin-Lehner |
2+ 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510k |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-1.6128662082152E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1831149,1133146705] |
[a1,a2,a3,a4,a6] |
Generators |
[1496:-42463:1] [656:-14953:1] |
Generators of the group modulo torsion |
j |
-931466777614122164689/221243649960937500 |
j-invariant |
L |
9.277277118013 |
L(r)(E,1)/r! |
Ω |
0.17339413271038 |
Real period |
R |
0.44586654363381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40170m1 |
Quadratic twists by: -3 |