Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516t |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-563409313041456 = -1 · 24 · 38 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,2201717] |
[a1,a2,a3,a4,a6] |
Generators |
[907:26874:1] |
Generators of the group modulo torsion |
j |
-802816/171 |
j-invariant |
L |
5.6990515955166 |
L(r)(E,1)/r! |
Ω |
0.4956030749118 |
Real period |
R |
5.7496128293098 |
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 |
11172j1 33516a1 |
Quadratic twists by: -3 -7 |