Atkin-Lehner |
2- 3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142x |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64342767132 = 22 · 32 · 7 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1148,-9151] |
[a1,a2,a3,a4,a6] |
j |
167329695282625/64342767132 |
j-invariant |
L |
3.3892282392898 |
L(r)(E,1)/r! |
Ω |
0.84730705982244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426w2 |
Quadratic twists by: -3 |