Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312p |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-40457735404388352 = -1 · 217 · 38 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22623,9580833] |
[a1,a2,a3,a4,a6] |
j |
207646/6561 |
j-invariant |
L |
1.0938592617845 |
L(r)(E,1)/r! |
Ω |
0.27346481822939 |
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 |
69312dl5 8664g6 192c6 |
Quadratic twists by: -4 8 -19 |