Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461h |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
167936 |
Modular degree for the optimal curve |
Δ |
-2443448531979 = -1 · 38 · 73 · 13 · 174 |
Discriminant |
Eigenvalues |
0 3- -1 7- -6 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8148,-292910] |
[a1,a2,a3,a4,a6] |
Generators |
[910:27310:1] |
Generators of the group modulo torsion |
j |
-239251750912/9771957 |
j-invariant |
L |
3.9395914293748 |
L(r)(E,1)/r! |
Ω |
0.25065074684387 |
Real period |
R |
1.9646816857531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999355743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32487e1 97461u1 |
Quadratic twists by: -3 -7 |