Atkin-Lehner |
7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73283h |
Isogeny class |
Conductor |
73283 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-7326998173113920861 = -1 · 72 · 1910 · 293 |
Discriminant |
Eigenvalues |
1 1 -3 7- -5 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1563860,-764052725] |
[a1,a2,a3,a4,a6] |
Generators |
[18745:2551200:1] |
Generators of the group modulo torsion |
j |
-8990737580405953/155741544581 |
j-invariant |
L |
3.7396477567519 |
L(r)(E,1)/r! |
Ω |
0.067433175467672 |
Real period |
R |
6.9321363869936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3857b1 |
Quadratic twists by: -19 |