Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fe |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
939958658148077568 = 212 · 311 · 77 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24592154,46946111321] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:228199:1] |
Generators of the group modulo torsion |
j |
19177749277229260873/10959556608 |
j-invariant |
L |
13.822276846948 |
L(r)(E,1)/r! |
Ω |
0.22964099069972 |
Real period |
R |
2.5079503425648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011527 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42042bs1 18018bl1 |
Quadratic twists by: -3 -7 |