Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126d |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6988800 |
Modular degree for the optimal curve |
Δ |
-5.8650924600123E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2151060,-3879041328] |
[a1,a2,a3,a4,a6] |
Generators |
[5133:344280:1] |
Generators of the group modulo torsion |
j |
-7071854467662747/37681378189312 |
j-invariant |
L |
5.3547925885709 |
L(r)(E,1)/r! |
Ω |
0.056094988665851 |
Real period |
R |
0.79549480034934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999466836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dg1 126126q1 |
Quadratic twists by: -3 -7 |