Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162r |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2370816 |
Modular degree for the optimal curve |
Δ |
6.073175259595E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8534535,8835970877] |
[a1,a2,a3,a4,a6] |
Generators |
[-1286321321:364454055594:3307949] |
Generators of the group modulo torsion |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
4.2250510337668 |
L(r)(E,1)/r! |
Ω |
0.13097616518858 |
Real period |
R |
16.129083591983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018s1 5166r1 |
Quadratic twists by: -3 -7 |