Atkin-Lehner |
2- 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744t |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-3387875328 = -1 · 213 · 33 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-2798] |
[a1,a2,a3,a4,a6] |
Generators |
[14:24:1] [23:-102:1] |
Generators of the group modulo torsion |
j |
91125/30634 |
j-invariant |
L |
11.404359863443 |
L(r)(E,1)/r! |
Ω |
0.66192009581258 |
Real period |
R |
2.1536511616218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218c1 129744l1 |
Quadratic twists by: -4 -3 |