Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925l |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1207990304296875 = -1 · 312 · 58 · 11 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,-1671978] |
[a1,a2,a3,a4,a6] |
Generators |
[140:861:1] [1182:8655:8] |
Generators of the group modulo torsion |
j |
-24137569/106051275 |
j-invariant |
L |
6.6025128273899 |
L(r)(E,1)/r! |
Ω |
0.22072307686753 |
Real period |
R |
3.7391382683509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975d2 11385n2 |
Quadratic twists by: -3 5 |