Atkin-Lehner |
2+ 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720h |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14967613440 = 211 · 32 · 5 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:28:1] [-14:78:1] |
Generators of the group modulo torsion |
j |
12642726098/7308405 |
j-invariant |
L |
9.7232066562885 |
L(r)(E,1)/r! |
Ω |
1.0571596098674 |
Real period |
R |
1.1496852705856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360l2 |
Quadratic twists by: -4 |