Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9996p |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
1456001399626704 = 24 · 33 · 79 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36129,-1913724] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:204:1] |
Generators of the group modulo torsion |
j |
8077950976/2255067 |
j-invariant |
L |
4.7286578500865 |
L(r)(E,1)/r! |
Ω |
0.35359259371907 |
Real period |
R |
2.2288635443174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984ck1 29988bg1 9996d1 |
Quadratic twists by: -4 -3 -7 |