Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450bl |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-37499106816000 = -1 · 212 · 39 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7585,-150713] |
[a1,a2,a3,a4,a6] |
Generators |
[29:290:1] |
Generators of the group modulo torsion |
j |
19617462873/15241216 |
j-invariant |
L |
9.5909120423355 |
L(r)(E,1)/r! |
Ω |
0.36168613662558 |
Real period |
R |
1.1048843033511 |
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 |
27450i1 27450j1 |
Quadratic twists by: -3 5 |