Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785g |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-22785 = -1 · 3 · 5 · 72 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[14:48:1] |
Generators of the group modulo torsion |
j |
34391/465 |
j-invariant |
L |
5.1263835565752 |
L(r)(E,1)/r! |
Ω |
1.8649465124805 |
Real period |
R |
2.7488099643978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68355o1 113925by1 22785j1 |
Quadratic twists by: -3 5 -7 |