Atkin-Lehner |
2- 3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670s |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-717953433600 = -1 · 218 · 3 · 52 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1429,-34471] |
[a1,a2,a3,a4,a6] |
Generators |
[23:94:1] |
Generators of the group modulo torsion |
j |
322701811749071/717953433600 |
j-invariant |
L |
6.4697393098863 |
L(r)(E,1)/r! |
Ω |
0.4683793827379 |
Real period |
R |
0.76739065575285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010p1 103350s1 |
Quadratic twists by: -3 5 |