Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960cl |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-22618828800000 = -1 · 215 · 37 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25985,-1619775] |
[a1,a2,a3,a4,a6] |
Generators |
[595:13900:1] |
Generators of the group modulo torsion |
j |
-59218670617352/690271875 |
j-invariant |
L |
7.3446731277488 |
L(r)(E,1)/r! |
Ω |
0.18788234235761 |
Real period |
R |
3.9091875486044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960ds1 48480r1 |
Quadratic twists by: -4 8 |