Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600z |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
429235200 = 210 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,-1212] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
6.85107225068 |
L(r)(E,1)/r! |
Ω |
1.2250888041811 |
Real period |
R |
0.4660255530931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13800a1 110400gl1 82800n1 27600m1 |
Quadratic twists by: -4 8 -3 5 |