Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186g |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4530240 |
Modular degree for the optimal curve |
Δ |
-8.4444901927983E+24 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29919632,153354700032] |
[a1,a2,a3,a4,a6] |
Generators |
[87456:25771824:1] |
Generators of the group modulo torsion |
j |
-13818184330125173625/39394169970491392 |
j-invariant |
L |
3.7563107971325 |
L(r)(E,1)/r! |
Ω |
0.06475966261292 |
Real period |
R |
2.6365393669544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186s1 |
Quadratic twists by: -11 |