Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440br |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-8575967218785120000 = -1 · 28 · 36 · 54 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,467433,-68711274] |
[a1,a2,a3,a4,a6] |
Generators |
[262:8470:1] |
Generators of the group modulo torsion |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
7.3624697331255 |
L(r)(E,1)/r! |
Ω |
0.12968306700416 |
Real period |
R |
0.59138324551265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720o1 6160a1 |
Quadratic twists by: -4 -3 |