Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bz |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.9832558474706E+30 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7289154063,-262507156779029] |
[a1,a2,a3,a4,a6] |
Generators |
[832221519672914388154156788565:-30175899899107027563420163472681:8306652594474951662569625] |
Generators of the group modulo torsion |
j |
-499389414448500029215603297/58102847480656897356438 |
j-invariant |
L |
3.1866053572182 |
L(r)(E,1)/r! |
Ω |
0.0081165212138203 |
Real period |
R |
49.075911009119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.99999996846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042ck5 18018h6 |
Quadratic twists by: -3 -7 |