Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802cd |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-14717263612489956 = -1 · 22 · 39 · 77 · 613 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81374,-10651791] |
[a1,a2,a3,a4,a6] |
j |
-694800198793/171597636 |
j-invariant |
L |
2.2323036626852 |
L(r)(E,1)/r! |
Ω |
0.13951897900008 |
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 |
17934c1 7686v1 |
Quadratic twists by: -3 -7 |