Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bo |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
303977449555200 = 28 · 313 · 52 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129180,17850980] |
[a1,a2,a3,a4,a6] |
Generators |
[184:558:1] |
Generators of the group modulo torsion |
j |
51097782154240/65152917 |
j-invariant |
L |
6.4172723271841 |
L(r)(E,1)/r! |
Ω |
0.54398140500801 |
Real period |
R |
2.9492149308789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bf1 18600b1 55800y1 |
Quadratic twists by: -4 -3 5 |