Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
954i |
Isogeny class |
Conductor |
954 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-1236384 = -1 · 25 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,1563] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-15:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
3.0682460481018 |
L(r)(E,1)/r! |
Ω |
2.704892385863 |
Real period |
R |
0.11343320215391 |
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 |
7632g1 30528s1 106d1 23850bc1 |
Quadratic twists by: -4 8 -3 5 |