Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27380c |
Isogeny class |
Conductor |
27380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
379727508532000000 = 28 · 56 · 377 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16457205,-25702458025] |
[a1,a2,a3,a4,a6] |
Generators |
[6265:342250:1] |
Generators of the group modulo torsion |
j |
750484394082304/578125 |
j-invariant |
L |
6.5215316095691 |
L(r)(E,1)/r! |
Ω |
0.074956716310411 |
Real period |
R |
1.2083884189321 |
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 |
109520t2 740b2 |
Quadratic twists by: -4 37 |