Atkin-Lehner |
2+ 3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54264a |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
46884096 = 28 · 34 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -2 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3561,82989] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-18:1] |
Generators of the group modulo torsion |
j |
19512891096064/183141 |
j-invariant |
L |
3.1086252017733 |
L(r)(E,1)/r! |
Ω |
1.8180865893452 |
Real period |
R |
0.2137291768738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108528i1 |
Quadratic twists by: -4 |