Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512bk |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
426651917746176 = 226 · 39 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20019,-448270] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:790:1] |
Generators of the group modulo torsion |
j |
297141543217/142884864 |
j-invariant |
L |
7.3094899157519 |
L(r)(E,1)/r! |
Ω |
0.42103156237749 |
Real period |
R |
4.3402268196174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5814f1 15504o1 |
Quadratic twists by: -4 -3 |