Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bz |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-3447451500732421875 = -1 · 39 · 512 · 72 · 114 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,367967,-24353906] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-13613:1] |
Generators of the group modulo torsion |
j |
7196694080651264/4502793796875 |
j-invariant |
L |
5.2889220763357 |
L(r)(E,1)/r! |
Ω |
0.14424123412732 |
Real period |
R |
1.0185333133711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275du1 8085c1 40425b1 |
Quadratic twists by: -3 5 -7 |