Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162u |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-5359347880016256 = -1 · 27 · 311 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14121,3584461] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:2036:1] |
Generators of the group modulo torsion |
j |
-3630961153/62487936 |
j-invariant |
L |
3.4088591239938 |
L(r)(E,1)/r! |
Ω |
0.36214125538169 |
Real period |
R |
1.1766331070183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bf1 5166n1 |
Quadratic twists by: -3 -7 |