Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800n |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3175524000000 = 28 · 38 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9975,-373750] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:88:1] |
Generators of the group modulo torsion |
j |
37642192/1089 |
j-invariant |
L |
3.9186325147727 |
L(r)(E,1)/r! |
Ω |
0.47856329182656 |
Real period |
R |
2.0470816408715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39600t2 6600v2 792e2 |
Quadratic twists by: -4 -3 5 |