Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bp |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-7635180000 = -1 · 25 · 3 · 54 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -4 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,-4202] |
[a1,a2,a3,a4,a6] |
Generators |
[28:122:1] |
Generators of the group modulo torsion |
j |
2595575/12216288 |
j-invariant |
L |
5.4014902158411 |
L(r)(E,1)/r! |
Ω |
0.61035783155384 |
Real period |
R |
2.2124276681289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650bt1 |
Quadratic twists by: 5 |