Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344gk |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1632389390401536 = -1 · 222 · 311 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27924,-743600] |
[a1,a2,a3,a4,a6] |
j |
5735339/3888 |
j-invariant |
L |
1.0756475383358 |
L(r)(E,1)/r! |
Ω |
0.26891183152511 |
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 |
97344dg1 24336cc1 32448di1 97344gi1 |
Quadratic twists by: -4 8 -3 13 |