Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760y |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1627057434240000 = 210 · 32 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29416,58820] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1350:1] |
Generators of the group modulo torsion |
j |
23366901604/13505625 |
j-invariant |
L |
5.0891150605925 |
L(r)(E,1)/r! |
Ω |
0.40233078567924 |
Real period |
R |
3.1622704760218 |
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 |
5880t4 47040fh3 35280cj3 58800bf3 |
Quadratic twists by: -4 8 -3 5 |