Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ff |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
9091862020777536 = 26 · 310 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-138704,-19311757] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:825:1] |
Generators of the group modulo torsion |
j |
3440899317673/106007616 |
j-invariant |
L |
13.130638525701 |
L(r)(E,1)/r! |
Ω |
0.24785430787529 |
Real period |
R |
2.2073852131463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079551 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42042bt2 2574t2 |
Quadratic twists by: -3 -7 |