Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12920l |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-143217634750000 = -1 · 24 · 56 · 174 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9755,-681628] |
[a1,a2,a3,a4,a6] |
Generators |
[13129:1504245:1] |
Generators of the group modulo torsion |
j |
-6416970903832576/8951102171875 |
j-invariant |
L |
6.810916144504 |
L(r)(E,1)/r! |
Ω |
0.2285645620394 |
Real period |
R |
4.9664422193103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25840k1 103360k1 116280k1 64600h1 |
Quadratic twists by: -4 8 -3 5 |