Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414c |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-5958629634623904 = -1 · 25 · 33 · 75 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45030,-527276] |
[a1,a2,a3,a4,a6] |
Generators |
[47:1277:1] |
Generators of the group modulo torsion |
j |
15494117157/9143008 |
j-invariant |
L |
2.7110095859375 |
L(r)(E,1)/r! |
Ω |
0.24953235444032 |
Real period |
R |
1.3580451280644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414bq1 2142c1 |
Quadratic twists by: -3 17 |