Atkin-Lehner |
2+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256d |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-4602881063744 = -1 · 26 · 175 · 373 |
Discriminant |
Eigenvalues |
2+ 0 3 -1 5 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-481471,-128588892] |
[a1,a2,a3,a4,a6] |
j |
-192865318814678591808/71920016621 |
j-invariant |
L |
2.446756664998 |
L(r)(E,1)/r! |
Ω |
0.090620617220623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256c1 20128f1 |
Quadratic twists by: -4 8 |