Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802bg |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1538418782381434632 = -1 · 23 · 313 · 711 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17430975,28015552053] |
[a1,a2,a3,a4,a6] |
j |
-6829249786786129249/17937371592 |
j-invariant |
L |
3.7174341699488 |
L(r)(E,1)/r! |
Ω |
0.23233963552244 |
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 |
17934be1 7686e1 |
Quadratic twists by: -3 -7 |