Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560dh |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
14054400 = 210 · 32 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,315] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] |
Generators of the group modulo torsion |
j |
112377856/13725 |
j-invariant |
L |
8.8275980948199 |
L(r)(E,1)/r! |
Ω |
2.1512698327963 |
Real period |
R |
2.051718003936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560c1 14640ba1 |
Quadratic twists by: -4 8 |