Atkin-Lehner |
2+ 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062s |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-599783187677184 = -1 · 219 · 39 · 7 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -1 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8730,-1217228] |
[a1,a2,a3,a4,a6] |
j |
-100940836056481/822747856896 |
j-invariant |
L |
1.7388589400029 |
L(r)(E,1)/r! |
Ω |
0.2173573676319 |
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 |
18354v1 |
Quadratic twists by: -3 |