Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fx |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-70963776 = -1 · 26 · 38 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,416] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
-832/9 |
j-invariant |
L |
4.496763800862 |
L(r)(E,1)/r! |
Ω |
1.65756495426 |
Real period |
R |
1.3564366771076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fz1 48672u1 32448cm1 97344fs1 |
Quadratic twists by: -4 8 -3 13 |