Atkin-Lehner |
3+ 5+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205c |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-782691525 = -1 · 33 · 52 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,1350] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:38:1] |
Generators of the group modulo torsion |
j |
-14348907/28988575 |
j-invariant |
L |
5.4778147496286 |
L(r)(E,1)/r! |
Ω |
1.2821123489441 |
Real period |
R |
1.0681230045459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999949524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205h2 |
Quadratic twists by: -3 |