Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425l |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1433157837890625 = 34 · 59 · 77 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-249313,-47983594] |
[a1,a2,a3,a4,a6] |
j |
932288503609/779625 |
j-invariant |
L |
0.85466340359864 |
L(r)(E,1)/r! |
Ω |
0.2136658508976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275ee1 8085u1 5775p1 |
Quadratic twists by: -3 5 -7 |