Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414bp |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
569556643542768 = 24 · 36 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3110850,2112645348] |
[a1,a2,a3,a4,a6] |
j |
654699641761/112 |
j-invariant |
L |
3.2550596765572 |
L(r)(E,1)/r! |
Ω |
0.4068824595736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046s1 36414y1 |
Quadratic twists by: -3 17 |