Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414bx |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
-4.2197312606797E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -5 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15926411,24469837723] |
[a1,a2,a3,a4,a6] |
Generators |
[8887:760250:1] |
Generators of the group modulo torsion |
j |
-3253829409099/307328 |
j-invariant |
L |
10.300477264693 |
L(r)(E,1)/r! |
Ω |
0.19455340352582 |
Real period |
R |
0.63028827622283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414h1 36414ca1 |
Quadratic twists by: -3 17 |