Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300bj |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-453152000 = -1 · 28 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,1028] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-34:1] |
Generators of the group modulo torsion |
j |
112/289 |
j-invariant |
L |
7.4403245785125 |
L(r)(E,1)/r! |
Ω |
1.3093468645027 |
Real period |
R |
0.47353918586745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300bf1 83300x1 |
Quadratic twists by: 5 -7 |