Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400bv |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3078129891600000000 = 210 · 310 · 58 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9747075,-11712464750] |
[a1,a2,a3,a4,a6] |
Generators |
[3681:47804:1] |
Generators of the group modulo torsion |
j |
8780093172522724/263900025 |
j-invariant |
L |
7.3296600900774 |
L(r)(E,1)/r! |
Ω |
0.085444037302293 |
Real period |
R |
5.3614479150558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995963 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34200ci4 22800bc4 13680m3 |
Quadratic twists by: -4 -3 5 |