Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646w |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
385759452925952 = 212 · 78 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-818236,-284676353] |
[a1,a2,a3,a4,a6] |
Generators |
[-521:261:1] |
Generators of the group modulo torsion |
j |
514956713316561153/3278901248 |
j-invariant |
L |
6.4561710371823 |
L(r)(E,1)/r! |
Ω |
0.15873771200959 |
Real period |
R |
3.3893285110667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378p1 |
Quadratic twists by: -7 |