Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414k |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2398080384 = -1 · 27 · 33 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -5 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6123,-182907] |
[a1,a2,a3,a4,a6] |
j |
-3253829409099/307328 |
j-invariant |
L |
2.1588014216942 |
L(r)(E,1)/r! |
Ω |
0.26985017771115 |
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 |
36414ca1 36414h1 |
Quadratic twists by: -3 17 |