Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725a |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24380140640625 = 36 · 56 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47050,-3940625] |
[a1,a2,a3,a4,a6] |
Generators |
[2110:10495:8] |
Generators of the group modulo torsion |
j |
737219801902753/1560329001 |
j-invariant |
L |
4.6288469435578 |
L(r)(E,1)/r! |
Ω |
0.3242004931037 |
Real period |
R |
3.5694323444451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389f2 |
Quadratic twists by: 5 |