Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872x |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32798658816 = 28 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2172,37260] |
[a1,a2,a3,a4,a6] |
j |
37642192/1089 |
j-invariant |
L |
2.3254973039492 |
L(r)(E,1)/r! |
Ω |
1.1627486519746 |
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 |
12936c2 103488fn2 77616bu2 528b2 |
Quadratic twists by: -4 8 -3 -7 |