Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670i |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15892633988840 = 23 · 5 · 78 · 413 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10797,382421] |
[a1,a2,a3,a4,a6] |
j |
2019967090721/230592040 |
j-invariant |
L |
2.6991969547661 |
L(r)(E,1)/r! |
Ω |
0.67479930190589 |
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 |
117670j2 |
Quadratic twists by: 41 |