Atkin-Lehner |
3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
22725k |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
5752265625 = 36 · 57 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2292,-41509] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1723:1] |
Generators of the group modulo torsion |
j |
116930169/505 |
j-invariant |
L |
5.770123808142 |
L(r)(E,1)/r! |
Ω |
0.6901601301764 |
Real period |
R |
2.0901395038088 |
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 |
2525b1 4545c1 |
Quadratic twists by: -3 5 |