Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bc |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
11035602000 = 24 · 38 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-570,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:45:1] |
Generators of the group modulo torsion |
j |
14047232/7569 |
j-invariant |
L |
4.7973445593811 |
L(r)(E,1)/r! |
Ω |
1.040465376395 |
Real period |
R |
1.152692023264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bx1 17400bj1 52200cg1 |
Quadratic twists by: -4 -3 5 |