Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bo |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
162452459520 = 212 · 39 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9781,-368579] |
[a1,a2,a3,a4,a6] |
Generators |
[-2956596:396317:50653] |
Generators of the group modulo torsion |
j |
25267247939584/39661245 |
j-invariant |
L |
5.000443020353 |
L(r)(E,1)/r! |
Ω |
0.4801102550539 |
Real period |
R |
10.415197289954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045i1 |
Quadratic twists by: -4 |