Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bx |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
933091085928960000 = 212 · 34 · 54 · 74 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565920,-156945600] |
[a1,a2,a3,a4,a6] |
Generators |
[1432:44352:1] |
Generators of the group modulo torsion |
j |
4893613425692722081/227805440900625 |
j-invariant |
L |
6.5411406146556 |
L(r)(E,1)/r! |
Ω |
0.17456660743669 |
Real period |
R |
4.6838429689394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997309 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
3885h3 |
Quadratic twists by: -4 |