Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bt |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3143230904336544 = -1 · 25 · 38 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35932,-643737] |
[a1,a2,a3,a4,a6] |
Generators |
[23:429:1] |
Generators of the group modulo torsion |
j |
59822347031/36648864 |
j-invariant |
L |
8.6944747500015 |
L(r)(E,1)/r! |
Ω |
0.25983775373715 |
Real period |
R |
1.6730584037476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582d1 6678t1 |
Quadratic twists by: -3 -7 |