Atkin-Lehner |
2- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
71638y |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-394295552 = -1 · 28 · 72 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 1 0 7- 1 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-148,1168] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:46:1] |
Generators of the group modulo torsion |
j |
-7319748625/8046848 |
j-invariant |
L |
11.060386267091 |
L(r)(E,1)/r! |
Ω |
1.5319071027652 |
Real period |
R |
0.45125069289204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71638l1 |
Quadratic twists by: -7 |