Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2475j |
Isogeny class |
Conductor |
2475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-626484375 = -1 · 36 · 57 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,183,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[68:534:1] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
3.8354297550781 |
L(r)(E,1)/r! |
Ω |
0.88886178683078 |
Real period |
R |
4.3149900377124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600cy1 275a1 495a1 121275ec1 |
Quadratic twists by: -4 -3 5 -7 |