Atkin-Lehner |
2+ 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328f |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-22121216 = -1 · 28 · 13 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ -1 1 -4 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-905,10789] |
[a1,a2,a3,a4,a6] |
Generators |
[20:17:1] |
Generators of the group modulo torsion |
j |
-320559963136/86411 |
j-invariant |
L |
3.2348244674167 |
L(r)(E,1)/r! |
Ω |
2.0953363027887 |
Real period |
R |
0.7719105669275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40664d1 |
Quadratic twists by: -4 |