Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126m |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-12851823688704 = -1 · 210 · 39 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5304,-88768] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1719:1] |
Generators of the group modulo torsion |
j |
2444008923/1903616 |
j-invariant |
L |
6.1808156619689 |
L(r)(E,1)/r! |
Ω |
0.39533211234751 |
Real period |
R |
3.9086223158508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ef1 126126j1 |
Quadratic twists by: -3 -7 |