Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bx |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
421573652517888 = 210 · 38 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239304,-45047288] |
[a1,a2,a3,a4,a6] |
j |
420616192/117 |
j-invariant |
L |
0.86343449707091 |
L(r)(E,1)/r! |
Ω |
0.21585857948878 |
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 |
97344fg1 12168f1 32448bm1 7488s1 |
Quadratic twists by: -4 8 -3 13 |