Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506k |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
6931830503003199552 = 26 · 39 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3858525,2912934717] |
[a1,a2,a3,a4,a6] |
j |
10680703423890625/11653595712 |
j-invariant |
L |
0.47072248412179 |
L(r)(E,1)/r! |
Ω |
0.23536124126203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914m1 |
Quadratic twists by: 29 |