Atkin-Lehner |
3- 5- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25185h |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
217220625 = 32 · 54 · 232 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-928,-10927] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:95:8] |
Generators of the group modulo torsion |
j |
88245939632761/217220625 |
j-invariant |
L |
7.9554944993397 |
L(r)(E,1)/r! |
Ω |
0.86523260827906 |
Real period |
R |
2.2986577318102 |
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 |
75555b1 125925a1 |
Quadratic twists by: -3 5 |