Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200r |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-23117683500000000 = -1 · 28 · 313 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104700,-14951500] |
[a1,a2,a3,a4,a6] |
Generators |
[1570:60750:1] |
Generators of the group modulo torsion |
j |
-43528754176/7927875 |
j-invariant |
L |
6.474926840714 |
L(r)(E,1)/r! |
Ω |
0.13140299748674 |
Real period |
R |
0.76992712358933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400bi1 17400v1 10440v1 |
Quadratic twists by: -4 -3 5 |