Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650c |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147087360 |
Modular degree for the optimal curve |
Δ |
-1.0173621792051E+31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3236213126,169030056130648] |
[a1,a2,a3,a4,a6] |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
0.16154100946671 |
L(r)(E,1)/r! |
Ω |
0.020192630364801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730ba1 7150q1 |
Quadratic twists by: 5 -11 |