Atkin-Lehner |
2- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
100912bh |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-3039282147328 = -1 · 212 · 77 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 2 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3451,-29645] |
[a1,a2,a3,a4,a6] |
Generators |
[14:147:1] |
Generators of the group modulo torsion |
j |
1109360734208/742012243 |
j-invariant |
L |
4.3953992541502 |
L(r)(E,1)/r! |
Ω |
0.45505034885772 |
Real period |
R |
1.3798784707705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307f1 |
Quadratic twists by: -4 |