Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008f |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-139829248 = -1 · 213 · 132 · 101 |
Discriminant |
Eigenvalues |
2- -2 -4 -3 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,564] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [-4:26:1] |
Generators of the group modulo torsion |
j |
-1771561/34138 |
j-invariant |
L |
3.8739029750811 |
L(r)(E,1)/r! |
Ω |
1.5485346075327 |
Real period |
R |
0.31270716813792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626b1 84032x1 |
Quadratic twists by: -4 8 |