Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880d |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-2794478180136226560 = -1 · 28 · 35 · 5 · 198 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40484,80353600] |
[a1,a2,a3,a4,a6] |
Generators |
[-135177:597346:343] |
Generators of the group modulo torsion |
j |
28663107188749616/10915930391157135 |
j-invariant |
L |
4.1462613786624 |
L(r)(E,1)/r! |
Ω |
0.1979616372011 |
Real period |
R |
10.47238609442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999646805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52440f1 |
Quadratic twists by: -4 |