Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540z |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1880236800 = -1 · 28 · 36 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,2324] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] |
Generators of the group modulo torsion |
j |
-4194304/10075 |
j-invariant |
L |
6.0971231928826 |
L(r)(E,1)/r! |
Ω |
1.3118618663438 |
Real period |
R |
1.1619217214975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8060a1 |
Quadratic twists by: -3 |