Atkin-Lehner |
3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58089a |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
82478073273 = 3 · 177 · 67 |
Discriminant |
Eigenvalues |
1 3+ 2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20669,-1152312] |
[a1,a2,a3,a4,a6] |
Generators |
[665456435741666437040:4750900646965388465913:3427651446488576000] |
Generators of the group modulo torsion |
j |
40459583737/3417 |
j-invariant |
L |
6.2204414624124 |
L(r)(E,1)/r! |
Ω |
0.39817056673268 |
Real period |
R |
31.245109418303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3417g1 |
Quadratic twists by: 17 |