Atkin-Lehner |
5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145bb |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
7732176725 = 52 · 72 · 135 · 17 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- 5 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9690,363906] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-423:1] |
Generators of the group modulo torsion |
j |
2053732053151744/157799525 |
j-invariant |
L |
2.4709656828627 |
L(r)(E,1)/r! |
Ω |
1.2545610125691 |
Real period |
R |
0.19695859015064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145a1 |
Quadratic twists by: -7 |