Atkin-Lehner |
2- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950bd |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-81376982984375000 = -1 · 23 · 59 · 137 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27138,13821031] |
[a1,a2,a3,a4,a6] |
j |
-1131691848461/41665015288 |
j-invariant |
L |
1.7098700075751 |
L(r)(E,1)/r! |
Ω |
0.28497833467968 |
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 |
53950o1 |
Quadratic twists by: 5 |