Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
74360b |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1646913382400 = 211 · 52 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3176,-29524] |
[a1,a2,a3,a4,a6] |
j |
787665674/366025 |
j-invariant |
L |
1.3300746694163 |
L(r)(E,1)/r! |
Ω |
0.66503733744532 |
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 |
74360u2 |
Quadratic twists by: 13 |