Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414i |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1.1003309956652E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2200245,-2030477131] |
[a1,a2,a3,a4,a6] |
j |
-207084606048940707/193434623148032 |
j-invariant |
L |
0.95501050627624 |
L(r)(E,1)/r! |
Ω |
0.059688156642506 |
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 |
36414by1 36414g1 |
Quadratic twists by: -3 17 |