Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50752a |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1804800 |
Modular degree for the optimal curve |
Δ |
-1.2152517219127E+22 |
Discriminant |
Eigenvalues |
2+ 1 -1 3 -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1024319,5289160351] |
[a1,a2,a3,a4,a6] |
Generators |
[17740361850:4683392895127:62570773] |
Generators of the group modulo torsion |
j |
453407867428435919/46358174206263296 |
j-invariant |
L |
6.9444898651003 |
L(r)(E,1)/r! |
Ω |
0.097256216525715 |
Real period |
R |
17.851017943065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50752h1 1586d1 |
Quadratic twists by: -4 8 |