Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cs |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-9743035524857856 = -1 · 214 · 36 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26364,5026736] |
[a1,a2,a3,a4,a6] |
j |
-208 |
j-invariant |
L |
1.418552927235 |
L(r)(E,1)/r! |
Ω |
0.35463820147608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344ga1 6084l1 10816l1 97344cn1 |
Quadratic twists by: -4 8 -3 13 |