Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104bx |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-23995367424 = -1 · 214 · 36 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,623,-4655] |
[a1,a2,a3,a4,a6] |
Generators |
[9:40:1] |
Generators of the group modulo torsion |
j |
1629561008/1464561 |
j-invariant |
L |
5.1998749289049 |
L(r)(E,1)/r! |
Ω |
0.65781428508797 |
Real period |
R |
1.9761941351748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104bo2 13776r2 |
Quadratic twists by: -4 8 |