Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344dz |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-389144910016512 = -1 · 212 · 39 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18252,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
5.1044573942358 |
L(r)(E,1)/r! |
Ω |
0.31902858897544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dz2 48672g1 97344eb2 576g2 |
Quadratic twists by: -4 8 -3 13 |