Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cu |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-546435072000 = -1 · 215 · 37 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207905,36557025] |
[a1,a2,a3,a4,a6] |
Generators |
[265:-40:1] |
Generators of the group modulo torsion |
j |
-30329878326640712/16675875 |
j-invariant |
L |
4.5932035147437 |
L(r)(E,1)/r! |
Ω |
0.75869937366162 |
Real period |
R |
0.50450411960576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560dv1 29280o1 |
Quadratic twists by: -4 8 |