Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gn |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-507384000 = -1 · 26 · 37 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 5 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102,1154] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] |
Generators of the group modulo torsion |
j |
-2515456/10875 |
j-invariant |
L |
9.1808545117702 |
L(r)(E,1)/r! |
Ω |
1.4386848801088 |
Real period |
R |
0.53178511814116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520gr1 41760w1 27840ck1 |
Quadratic twists by: -4 8 -3 |