Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525dg |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
72466416264375 = 34 · 54 · 76 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -1 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37388,-2755383] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:229:1] |
Generators of the group modulo torsion |
j |
78605490625/985527 |
j-invariant |
L |
4.8770747675878 |
L(r)(E,1)/r! |
Ω |
0.34359415035711 |
Real period |
R |
0.39428581347917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525n1 1725l1 |
Quadratic twists by: 5 -7 |