Atkin-Lehner |
2+ 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770n |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1788655725000000 = 26 · 32 · 58 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-192093,-32357192] |
[a1,a2,a3,a4,a6] |
j |
783889919492630226121/1788655725000000 |
j-invariant |
L |
3.6492319369711 |
L(r)(E,1)/r! |
Ω |
0.22807699606063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bs4 |
Quadratic twists by: -3 |