Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bu |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-179304869263464 = -1 · 23 · 33 · 7 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4714,-633267] |
[a1,a2,a3,a4,a6] |
j |
17779581/275128 |
j-invariant |
L |
6.6827151561629 |
L(r)(E,1)/r! |
Ω |
0.27844646484103 |
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 |
36414f2 2142n1 |
Quadratic twists by: -3 17 |