Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fz |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-3248463978593280 = -1 · 210 · 317 · 5 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3437292,-2452861496] |
[a1,a2,a3,a4,a6] |
Generators |
[3104263865:71883091737:1295029] |
Generators of the group modulo torsion |
j |
-6016521998966814976/4351616055 |
j-invariant |
L |
4.8386455733007 |
L(r)(E,1)/r! |
Ω |
0.055439005796597 |
Real period |
R |
14.546453661921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960de1 12240q1 16320cm1 |
Quadratic twists by: -4 8 -3 |