Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bp |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1750926744354816 = -1 · 221 · 38 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5363067,4780441258] |
[a1,a2,a3,a4,a6] |
Generators |
[1343:378:1] |
Generators of the group modulo torsion |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
7.2428940046483 |
L(r)(E,1)/r! |
Ω |
0.36315400496394 |
Real period |
R |
1.2465259066459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6678l1 17808w1 |
Quadratic twists by: -4 -3 |