Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920cb |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-9442398044160 = -1 · 219 · 310 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2733,137234] |
[a1,a2,a3,a4,a6] |
j |
756058031/3162240 |
j-invariant |
L |
4.1623210753337 |
L(r)(E,1)/r! |
Ω |
0.52029013439647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490k1 14640t1 |
Quadratic twists by: -4 -3 |