Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162h |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3646648404 = -1 · 22 · 33 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285,2169] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-78:1] |
Generators of the group modulo torsion |
j |
804357/1148 |
j-invariant |
L |
4.1297496213896 |
L(r)(E,1)/r! |
Ω |
0.94911403438942 |
Real period |
R |
0.2719476711804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162bo1 5166b1 |
Quadratic twists by: -3 -7 |