Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910h |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1325393913790000 = 24 · 54 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-471124,-124336032] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:234:1] [2172:94284:1] |
Generators of the group modulo torsion |
j |
479111271672249/54910000 |
j-invariant |
L |
7.0458300860521 |
L(r)(E,1)/r! |
Ω |
0.1822295030985 |
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 |
3230a2 |
Quadratic twists by: 17 |