Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910h |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
948046470099200 = 28 · 52 · 177 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31844,-1601200] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:812:1] [-56:92:1] |
Generators of the group modulo torsion |
j |
147951952569/39276800 |
j-invariant |
L |
7.0458300860521 |
L(r)(E,1)/r! |
Ω |
0.364459006197 |
Real period |
R |
4.8330744790571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3230a1 |
Quadratic twists by: 17 |