Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592ba |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-50013153755136 = -1 · 215 · 36 · 115 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9507,-493022] |
[a1,a2,a3,a4,a6] |
Generators |
[994:3951:8] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
5.1975923188959 |
L(r)(E,1)/r! |
Ω |
0.2359154887194 |
Real period |
R |
5.5078964368867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2574l1 82368fa1 2288j1 |
Quadratic twists by: -4 8 -3 |