Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360ch |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1531609931167825920 = -1 · 219 · 3 · 5 · 417 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76930881,259690644159] |
[a1,a2,a3,a4,a6] |
Generators |
[6736477:409632:1331] |
Generators of the group modulo torsion |
j |
-192081665892474305747281/5842628216430 |
j-invariant |
L |
6.0255947501105 |
L(r)(E,1)/r! |
Ω |
0.19647035038685 |
Real period |
R |
7.6673079910604 |
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 |
39360b2 9840r2 118080fv2 |
Quadratic twists by: -4 8 -3 |