Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328m |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5949440 |
Modular degree for the optimal curve |
Δ |
-2.9821813624062E+20 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -1 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1595636,-297416672] |
[a1,a2,a3,a4,a6] |
j |
2718209226816/1804229351 |
j-invariant |
L |
0.78655580929313 |
L(r)(E,1)/r! |
Ω |
0.098319560139206 |
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 |
111328bg1 111328l1 |
Quadratic twists by: -4 -7 |