Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bn |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-379975421952 = -1 · 212 · 36 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 1 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5115,-143894] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1750:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
7.0980379766714 |
L(r)(E,1)/r! |
Ω |
0.28183813554728 |
Real period |
R |
3.1481003994086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3339c1 5936p1 |
Quadratic twists by: -4 -3 |