Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
950a |
Isogeny class |
Conductor |
950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-9500000 = -1 · 25 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,148] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
2.0016845509098 |
L(r)(E,1)/r! |
Ω |
1.8318889257811 |
Real period |
R |
0.54634441060784 |
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 |
7600p1 30400l1 8550z1 38b1 |
Quadratic twists by: -4 8 -3 5 |