Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27075b |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-226889787500859375 = -1 · 32 · 57 · 199 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,103600,-18943125] |
[a1,a2,a3,a4,a6] |
Generators |
[78358:1363013:343] |
Generators of the group modulo torsion |
j |
24389/45 |
j-invariant |
L |
3.3093360905571 |
L(r)(E,1)/r! |
Ω |
0.16450627901739 |
Real period |
R |
10.058388379836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225t1 5415f1 27075n1 |
Quadratic twists by: -3 5 -19 |