Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56180d |
Isogeny class |
Conductor |
56180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
1773148890320 = 24 · 5 · 536 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3745,61902] |
[a1,a2,a3,a4,a6] |
Generators |
[22587026084609369292:-258741082700206917929:146726753156657856] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
10.674303222639 |
L(r)(E,1)/r! |
Ω |
0.77591552460433 |
Real period |
R |
27.514085964813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a2 |
Quadratic twists by: 53 |