Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620l |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
4189927500000000 = 28 · 36 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119727,-15638346] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:550:1] |
Generators of the group modulo torsion |
j |
1017027087462864/22451171875 |
j-invariant |
L |
6.2191841478596 |
L(r)(E,1)/r! |
Ω |
0.25700109367995 |
Real period |
R |
0.40331761879607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4180a2 |
Quadratic twists by: -3 |