Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2150p |
Isogeny class |
Conductor |
2150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-1720000 = -1 · 26 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -2 5 -7 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20,47] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
1482975/2752 |
j-invariant |
L |
4.1396252992033 |
L(r)(E,1)/r! |
Ω |
1.8259519213224 |
Real period |
R |
0.12595029507815 |
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 |
17200bc1 68800ce1 19350bj1 2150b1 |
Quadratic twists by: -4 8 -3 5 |