Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cq |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
24 |
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 |
[0:135:1] |
Generators of the group modulo torsion |
j |
48878989616/37675125 |
j-invariant |
L |
6.10343712675 |
L(r)(E,1)/r! |
Ω |
0.58631425489463 |
Real period |
R |
1.7349732035976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bn2 14640be2 |
Quadratic twists by: -4 8 |