Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1950g |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3900000000 = -1 · 28 · 3 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,374,1148] |
[a1,a2,a3,a4,a6] |
j |
371694959/249600 |
j-invariant |
L |
1.7529230806214 |
L(r)(E,1)/r! |
Ω |
0.87646154031068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600z1 62400z1 5850bm1 390b1 |
Quadratic twists by: -4 8 -3 5 |