Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832z |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-549096739615420416 = -1 · 212 · 37 · 711 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170877,-44778699] |
[a1,a2,a3,a4,a6] |
Generators |
[13603635:1857800044:729] |
Generators of the group modulo torsion |
j |
-134715366791699968/134056821195171 |
j-invariant |
L |
2.9804289775358 |
L(r)(E,1)/r! |
Ω |
0.11287071535297 |
Real period |
R |
13.202844370284 |
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 |
20832s1 41664bu1 62496o1 |
Quadratic twists by: -4 8 -3 |