Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bf |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
54025652168294400 = 222 · 38 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-349673,-78709719] |
[a1,a2,a3,a4,a6] |
Generators |
[1415:-48228:1] |
Generators of the group modulo torsion |
j |
6486065320592901961/74109262233600 |
j-invariant |
L |
10.233830811605 |
L(r)(E,1)/r! |
Ω |
0.19646447713776 |
Real period |
R |
0.39462106549429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470e1 |
Quadratic twists by: -3 |