Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125736s |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3129984 |
Modular degree for the optimal curve |
Δ |
-1.5579335517262E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 2 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1091632,409408908] |
[a1,a2,a3,a4,a6] |
Generators |
[4766316606406:415370164121497:640503928] |
Generators of the group modulo torsion |
j |
31973639882971750/34624931363397 |
j-invariant |
L |
5.1352621596973 |
L(r)(E,1)/r! |
Ω |
0.12095291830966 |
Real period |
R |
21.228351624183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125736j1 |
Quadratic twists by: 13 |