Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022b |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
-192736772595553112 = -1 · 23 · 193 · 378 |
Discriminant |
Eigenvalues |
2+ 1 0 5 0 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-250556,52670962] |
[a1,a2,a3,a4,a6] |
Generators |
[33800:3072677:512] |
Generators of the group modulo torsion |
j |
-677993136625/75119768 |
j-invariant |
L |
6.0898734330095 |
L(r)(E,1)/r! |
Ω |
0.31000449766387 |
Real period |
R |
4.9111169989181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406h1 |
Quadratic twists by: 37 |