Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618ce |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-530390398356 = -1 · 22 · 33 · 76 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,35069] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:95:1] |
Generators of the group modulo torsion |
j |
-24137569/4508244 |
j-invariant |
L |
13.60093597573 |
L(r)(E,1)/r! |
Ω |
0.75609498216854 |
Real period |
R |
2.9980660049917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482h1 |
Quadratic twists by: -7 |