Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bl |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
3758040023040 = 218 · 38 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5018,101337] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:507:1] [65:183:1] |
Generators of the group modulo torsion |
j |
19164920149081/5155061760 |
j-invariant |
L |
11.148722368105 |
L(r)(E,1)/r! |
Ω |
0.7343404533575 |
Real period |
R |
0.84344184235365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110e1 |
Quadratic twists by: -3 |