Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184u |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2408988672 = -1 · 214 · 32 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 4 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,239,-1967] |
[a1,a2,a3,a4,a6] |
Generators |
[57:440:1] |
Generators of the group modulo torsion |
j |
91765424/147033 |
j-invariant |
L |
8.5661103778225 |
L(r)(E,1)/r! |
Ω |
0.76542932131702 |
Real period |
R |
2.7978123247919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184n2 25296o2 |
Quadratic twists by: -4 8 |