Atkin-Lehner |
2+ 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
9006d |
Isogeny class |
Conductor |
9006 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-788493312 = -1 · 210 · 33 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -1 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20251,1107494] |
[a1,a2,a3,a4,a6] |
Generators |
[79:8:1] |
Generators of the group modulo torsion |
j |
-918400908622515625/788493312 |
j-invariant |
L |
3.9846714096043 |
L(r)(E,1)/r! |
Ω |
1.3296987316898 |
Real period |
R |
0.24972269498849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048k1 27018k1 |
Quadratic twists by: -4 -3 |