Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645n |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
866672834625 = 38 · 53 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8312,-286126] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:46:1] |
Generators of the group modulo torsion |
j |
87109155423289/1188851625 |
j-invariant |
L |
2.1970593860205 |
L(r)(E,1)/r! |
Ω |
0.50042154195288 |
Real period |
R |
1.463472427297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215g1 108225bb1 |
Quadratic twists by: -3 5 |