Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cr |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-1335408103437120 = -1 · 26 · 34 · 5 · 616 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75120,8142462] |
[a1,a2,a3,a4,a6] |
Generators |
[413534:24472135:10648] |
Generators of the group modulo torsion |
j |
-732514552878136384/20865751616205 |
j-invariant |
L |
5.5889769757615 |
L(r)(E,1)/r! |
Ω |
0.48050753637038 |
Real period |
R |
11.631403365697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560ds1 29280l2 |
Quadratic twists by: -4 8 |