Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800b |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
305086500000000000 = 211 · 39 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864675,-308333250] |
[a1,a2,a3,a4,a6] |
Generators |
[47576304958702:812870151649514:39200051773] |
Generators of the group modulo torsion |
j |
113511836214/484375 |
j-invariant |
L |
7.4319426019363 |
L(r)(E,1)/r! |
Ω |
0.15660218715913 |
Real period |
R |
23.728731816456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600i2 55800bf2 11160k2 |
Quadratic twists by: -4 -3 5 |