Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126l |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
58270212 = 22 · 33 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-702,7328] |
[a1,a2,a3,a4,a6] |
Generators |
[2:76:1] |
Generators of the group modulo torsion |
j |
4134520125/6292 |
j-invariant |
L |
4.204528145318 |
L(r)(E,1)/r! |
Ω |
1.9772957100665 |
Real period |
R |
0.53160083077663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ed1 126126i1 |
Quadratic twists by: -3 -7 |