Atkin-Lehner |
3+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20313a |
Isogeny class |
Conductor |
20313 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-226754019 = -1 · 33 · 37 · 613 |
Discriminant |
Eigenvalues |
2 3+ -1 2 5 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2193,-39535] |
[a1,a2,a3,a4,a6] |
Generators |
[2684203332:9064787123:45118016] |
Generators of the group modulo torsion |
j |
-43199213801472/8398297 |
j-invariant |
L |
10.925867076127 |
L(r)(E,1)/r! |
Ω |
0.3488227775395 |
Real period |
R |
15.661057390224 |
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 |
20313b1 |
Quadratic twists by: -3 |