Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bv |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
-480822919852032000 = -1 · 215 · 319 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167359,20403105] |
[a1,a2,a3,a4,a6] |
j |
15820434201386872/14673551020875 |
j-invariant |
L |
3.0903071126381 |
L(r)(E,1)/r! |
Ω |
0.1931441848833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960db1 48480w1 |
Quadratic twists by: -4 8 |