Atkin-Lehner |
7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73283f |
Isogeny class |
Conductor |
73283 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14040 |
Modular degree for the optimal curve |
Δ |
-3590867 = -1 · 73 · 192 · 29 |
Discriminant |
Eigenvalues |
0 1 0 7- 4 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-253,1470] |
[a1,a2,a3,a4,a6] |
Generators |
[12:17:1] |
Generators of the group modulo torsion |
j |
-4980736000/9947 |
j-invariant |
L |
6.3223045689269 |
L(r)(E,1)/r! |
Ω |
2.499504401341 |
Real period |
R |
0.84314108625568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73283e1 |
Quadratic twists by: -19 |