Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720cr |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1168338478694400 = 232 · 33 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96136,-11386636] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:318:1] |
Generators of the group modulo torsion |
j |
23989788887201929/285238886400 |
j-invariant |
L |
7.8853997966449 |
L(r)(E,1)/r! |
Ω |
0.27132502443507 |
Real period |
R |
4.8437600005957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090b1 |
Quadratic twists by: -4 |