Atkin-Lehner |
3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109551d |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2037977253 = -1 · 34 · 132 · 533 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,154,2109] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-55:1] [1726:24607:8] |
Generators of the group modulo torsion |
j |
2685619/13689 |
j-invariant |
L |
9.3089084773531 |
L(r)(E,1)/r! |
Ω |
1.0590026348058 |
Real period |
R |
4.3951299885306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109551h2 |
Quadratic twists by: 53 |