Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414cd |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-904434855255414 = -1 · 2 · 33 · 74 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21187,-832677] |
[a1,a2,a3,a4,a6] |
j |
5584653/4802 |
j-invariant |
L |
2.1960085537553 |
L(r)(E,1)/r! |
Ω |
0.27450106922344 |
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 |
36414n1 36414bt1 |
Quadratic twists by: -3 17 |