Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bt |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1238015625 = -1 · 3 · 56 · 74 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-6483] |
[a1,a2,a3,a4,a6] |
j |
-765625/33 |
j-invariant |
L |
0.94753911181289 |
L(r)(E,1)/r! |
Ω |
0.47376955592014 |
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 |
121275cr1 1617a1 40425o1 |
Quadratic twists by: -3 5 -7 |