Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bl |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4356071874 = 2 · 32 · 76 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8919,-327909] |
[a1,a2,a3,a4,a6] |
Generators |
[-11838:6575:216] |
Generators of the group modulo torsion |
j |
666940371553/37026 |
j-invariant |
L |
5.7872100643483 |
L(r)(E,1)/r! |
Ω |
0.49127165441141 |
Real period |
R |
5.8900305079415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122j2 |
Quadratic twists by: -7 |