Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305j |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-224808629175 = -1 · 34 · 52 · 136 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1517,-1519] |
[a1,a2,a3,a4,a6] |
Generators |
[86:967:8] |
Generators of the group modulo torsion |
j |
80062991/46575 |
j-invariant |
L |
8.4203307937032 |
L(r)(E,1)/r! |
Ω |
0.58825179001877 |
Real period |
R |
1.7892701171064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345d1 |
Quadratic twists by: 13 |