Atkin-Lehner |
3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7455g |
Isogeny class |
Conductor |
7455 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
12950535371484375 = 34 · 58 · 78 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61935,2279322] |
[a1,a2,a3,a4,a6] |
j |
26274386017047273841/12950535371484375 |
j-invariant |
L |
1.4159993117896 |
L(r)(E,1)/r! |
Ω |
0.3539998279474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
119280bq3 22365f3 37275a3 52185e3 |
Quadratic twists by: -4 -3 5 -7 |