Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cy |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
435200 |
Modular degree for the optimal curve |
Δ |
-58094777641362336 = -1 · 25 · 37 · 7 · 179 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37769,-11926231] |
[a1,a2,a3,a4,a6] |
j |
-68921/672 |
j-invariant |
L |
2.9844672495349 |
L(r)(E,1)/r! |
Ω |
0.14922336247641 |
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 |
12138n1 36414cm1 |
Quadratic twists by: -3 17 |