Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bx |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-228333583134720 = -1 · 212 · 316 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34560,-2566080] |
[a1,a2,a3,a4,a6] |
Generators |
[470715280056:5014195087616:1715072373] |
Generators of the group modulo torsion |
j |
-1114544804970241/55745503695 |
j-invariant |
L |
6.5411406146556 |
L(r)(E,1)/r! |
Ω |
0.17456660743669 |
Real period |
R |
18.735371875758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885h1 |
Quadratic twists by: -4 |