Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920ch |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-12589864058880 = -1 · 221 · 39 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 6 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4893,-108574] |
[a1,a2,a3,a4,a6] |
Generators |
[31:270:1] |
Generators of the group modulo torsion |
j |
4338722591/4216320 |
j-invariant |
L |
5.6991365219069 |
L(r)(E,1)/r! |
Ω |
0.38771221404943 |
Real period |
R |
1.8374248719098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490l1 14640w1 |
Quadratic twists by: -4 -3 |