Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320h |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
33130760000 = 26 · 54 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24110,1432900] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1690:1] [-32:1474:1] |
Generators of the group modulo torsion |
j |
24218842460204224/517668125 |
j-invariant |
L |
6.9658497417323 |
L(r)(E,1)/r! |
Ω |
1.0769260300265 |
Real period |
R |
1.6170678272011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320v1 120640v2 |
Quadratic twists by: -4 8 |