Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998i |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-2597683608 = -1 · 23 · 312 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522,-5076] |
[a1,a2,a3,a4,a6] |
j |
-21601086625/3563352 |
j-invariant |
L |
0.98976873027364 |
L(r)(E,1)/r! |
Ω |
0.49488436513682 |
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 |
87984bl1 3666n1 |
Quadratic twists by: -4 -3 |