Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568j |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-20115101371392 = -1 · 210 · 315 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 2 -3 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14763,723350] |
[a1,a2,a3,a4,a6] |
j |
-348190276/19683 |
j-invariant |
L |
5.3984009014083 |
L(r)(E,1)/r! |
Ω |
0.67480008140482 |
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 |
32856k1 98568x1 |
Quadratic twists by: -3 37 |