Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bc |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4469817344 = -1 · 218 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 3 -4 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-5023] |
[a1,a2,a3,a4,a6] |
Generators |
[47:272:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
3.9738249144501 |
L(r)(E,1)/r! |
Ω |
0.50054783437017 |
Real period |
R |
1.9847378419534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cb1 1003b1 |
Quadratic twists by: -4 8 |