Atkin-Lehner |
3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83205a |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288960 |
Modular degree for the optimal curve |
Δ |
1577907037476135 = 33 · 5 · 438 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 -1 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44723,-3087108] |
[a1,a2,a3,a4,a6] |
Generators |
[396:6219:1] |
Generators of the group modulo torsion |
j |
31347/5 |
j-invariant |
L |
4.1427789410526 |
L(r)(E,1)/r! |
Ω |
0.33183454678054 |
Real period |
R |
6.2422357514168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83205e1 83205f1 |
Quadratic twists by: -3 -43 |