Atkin-Lehner |
5- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25585a |
Isogeny class |
Conductor |
25585 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
-7948619875 = -1 · 53 · 7 · 173 · 432 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 0 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5815,168806] |
[a1,a2,a3,a4,a6] |
Generators |
[34:107:1] |
Generators of the group modulo torsion |
j |
-21749413611667456/7948619875 |
j-invariant |
L |
3.7395272345714 |
L(r)(E,1)/r! |
Ω |
1.2896866014176 |
Real period |
R |
1.4497813772977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127925a1 |
Quadratic twists by: 5 |