Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bj |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-884366095942877184 = -1 · 216 · 36 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14356,-45234547] |
[a1,a2,a3,a4,a6] |
Generators |
[813:-22871:1] |
Generators of the group modulo torsion |
j |
56759407103/153407913984 |
j-invariant |
L |
10.848417849306 |
L(r)(E,1)/r! |
Ω |
0.13014914309241 |
Real period |
R |
1.3024021892497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618cj1 |
Quadratic twists by: -7 |