Atkin-Lehner |
7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73283g |
Isogeny class |
Conductor |
73283 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-66852196901 = -1 · 72 · 196 · 29 |
Discriminant |
Eigenvalues |
1 1 1 7- -5 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,12439] |
[a1,a2,a3,a4,a6] |
Generators |
[49:336:1] |
Generators of the group modulo torsion |
j |
-1/1421 |
j-invariant |
L |
8.7376083046666 |
L(r)(E,1)/r! |
Ω |
0.87514396985519 |
Real period |
R |
1.2480244114722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
203b1 |
Quadratic twists by: -19 |