Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560bn |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-617269248000 = -1 · 214 · 34 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1935,-18225] |
[a1,a2,a3,a4,a6] |
Generators |
[15:120:1] |
Generators of the group modulo torsion |
j |
48878989616/37675125 |
j-invariant |
L |
7.8921587646136 |
L(r)(E,1)/r! |
Ω |
0.50974656252098 |
Real period |
R |
0.64510478872297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cq2 3660b2 |
Quadratic twists by: -4 8 |