Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850p |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
3472000000000 = 213 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -3 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4200,-56000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:70:1] |
Generators of the group modulo torsion |
j |
4196653397/1777664 |
j-invariant |
L |
2.0864846468618 |
L(r)(E,1)/r! |
Ω |
0.6159655017977 |
Real period |
R |
1.6936700519529 |
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 |
86800co1 97650er1 10850bc1 75950bn1 |
Quadratic twists by: -4 -3 5 -7 |