Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340k |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
355270860000000 = 28 · 36 · 57 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26249823,-51765174522] |
[a1,a2,a3,a4,a6] |
j |
10718533176462016713936/1903671875 |
j-invariant |
L |
0.80038546651862 |
L(r)(E,1)/r! |
Ω |
0.066698790692141 |
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 |
8260b2 |
Quadratic twists by: -3 |