Atkin-Lehner |
3+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20085b |
Isogeny class |
Conductor |
20085 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2900352 |
Modular degree for the optimal curve |
Δ |
-3.079961568532E+22 |
Discriminant |
Eigenvalues |
2 3+ 5+ 1 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14341436,-22540465129] |
[a1,a2,a3,a4,a6] |
Generators |
[1714599888344:350406969360951:40707584] |
Generators of the group modulo torsion |
j |
-326213297221672571435536384/30799615685319758671875 |
j-invariant |
L |
7.9611347013055 |
L(r)(E,1)/r! |
Ω |
0.038583021524871 |
Real period |
R |
17.194814339458 |
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 |
60255g1 100425h1 |
Quadratic twists by: -3 5 |