Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400c |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1541222931600000000 = 210 · 36 · 58 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293008,-12517988] |
[a1,a2,a3,a4,a6] |
Generators |
[8106:216125:8] |
Generators of the group modulo torsion |
j |
173877603513124/96326433225 |
j-invariant |
L |
5.3777688281424 |
L(r)(E,1)/r! |
Ω |
0.21984232748008 |
Real period |
R |
6.1154839008781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449557 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080u2 |
Quadratic twists by: 5 |