Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872co |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2222628140761104384 = 214 · 34 · 712 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1973344,1063898996] |
[a1,a2,a3,a4,a6] |
j |
1763535241378513/4612311396 |
j-invariant |
L |
2.084745760113 |
L(r)(E,1)/r! |
Ω |
0.26059322001413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3234r2 103488gh2 77616gh2 3696q2 |
Quadratic twists by: -4 8 -3 -7 |