Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bl |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
1.2098987495588E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9159579,10659083301] |
[a1,a2,a3,a4,a6] |
Generators |
[1585:10214:1] [3510:145701:1] |
Generators of the group modulo torsion |
j |
20222666908086769/28789702656 |
j-invariant |
L |
9.9551110873311 |
L(r)(E,1)/r! |
Ω |
0.18594003056469 |
Real period |
R |
13.38484114803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cu1 126126cl1 |
Quadratic twists by: -3 -7 |