Atkin-Lehner |
2- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55120w |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-38708020000000 = -1 · 28 · 57 · 13 · 533 |
Discriminant |
Eigenvalues |
2- 0 5- 0 3 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79127,8572354] |
[a1,a2,a3,a4,a6] |
Generators |
[138:530:1] |
Generators of the group modulo torsion |
j |
-214021718908437456/151203203125 |
j-invariant |
L |
6.8629608227983 |
L(r)(E,1)/r! |
Ω |
0.64163840937617 |
Real period |
R |
0.50933306587247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13780c1 |
Quadratic twists by: -4 |