Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ej |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-324403200 = -1 · 217 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,2817] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:48:1] [13:16:1] |
Generators of the group modulo torsion |
j |
-1488770/99 |
j-invariant |
L |
7.9043256227288 |
L(r)(E,1)/r! |
Ω |
1.6875210651943 |
Real period |
R |
0.58549829286278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800cy1 13200y1 52800hm1 |
Quadratic twists by: -4 8 5 |