Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850k |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1471531250 = 2 · 56 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13051,572748] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:792:1] [58:79:1] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
3.4504019562682 |
L(r)(E,1)/r! |
Ω |
1.3460158968942 |
Real period |
R |
1.2817092146644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800bf2 97650eb2 434c2 75950bg2 |
Quadratic twists by: -4 -3 5 -7 |