Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-431308800 = -1 · 214 · 34 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,2097] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:8:1] [3:36:1] |
Generators of the group modulo torsion |
j |
-5513680/1053 |
j-invariant |
L |
8.0577639334756 |
L(r)(E,1)/r! |
Ω |
1.6074552205596 |
Real period |
R |
0.62659318829074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400hi1 3900j1 62400dl1 |
Quadratic twists by: -4 8 5 |