Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bq |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-4343841003640826016 = -1 · 25 · 39 · 75 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,405268,13831183] |
[a1,a2,a3,a4,a6] |
j |
15494117157/9143008 |
j-invariant |
L |
2.9893955675955 |
L(r)(E,1)/r! |
Ω |
0.14946977837858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414c1 2142m1 |
Quadratic twists by: -3 17 |