Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525h |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
68973541259765625 = 32 · 518 · 72 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-139625,-15666000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1930:17065:8] |
Generators of the group modulo torsion |
j |
19266290507575441/4414306640625 |
j-invariant |
L |
4.6315557954259 |
L(r)(E,1)/r! |
Ω |
0.25104538241357 |
Real period |
R |
4.6122694539308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575bd1 4305i1 |
Quadratic twists by: -3 5 |