Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850u |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
33906250 = 2 · 57 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14713,680781] |
[a1,a2,a3,a4,a6] |
Generators |
[550:-179:8] |
Generators of the group modulo torsion |
j |
22542871522249/2170 |
j-invariant |
L |
5.3524801572618 |
L(r)(E,1)/r! |
Ω |
1.5912120367583 |
Real period |
R |
1.6818877791316 |
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 |
86800bt1 97650bf1 2170c1 75950cf1 |
Quadratic twists by: -4 -3 5 -7 |