Atkin-Lehner |
3+ 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35511a |
Isogeny class |
Conductor |
35511 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27328 |
Modular degree for the optimal curve |
Δ |
16127924337 = 37 · 72 · 19 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-658,1934] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:785:8] |
Generators of the group modulo torsion |
j |
31509582126625/16127924337 |
j-invariant |
L |
2.9726428691448 |
L(r)(E,1)/r! |
Ω |
1.0927331387022 |
Real period |
R |
2.7203740454655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533h1 |
Quadratic twists by: -3 |