Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126v |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8805888 |
Modular degree for the optimal curve |
Δ |
-2.8619215595123E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3593847,-7706193139] |
[a1,a2,a3,a4,a6] |
Generators |
[2059130:264766211:125] |
Generators of the group modulo torsion |
j |
923274208269/5147377664 |
j-invariant |
L |
4.2288566547791 |
L(r)(E,1)/r! |
Ω |
0.05921080148838 |
Real period |
R |
8.927545028598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997234335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ds1 126126g1 |
Quadratic twists by: -3 -7 |