Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bg |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
146270812921131500 = 22 · 53 · 73 · 318 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-878994046,10030236099343] |
[a1,a2,a3,a4,a6] |
j |
84627468364197487202209/164811500 |
j-invariant |
L |
3.5873873235282 |
L(r)(E,1)/r! |
Ω |
0.14947447261048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170n4 |
Quadratic twists by: -31 |