Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20292b |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80160 |
Modular degree for the optimal curve |
Δ |
-1597629744 = -1 · 24 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 3 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-459781,-119845046] |
[a1,a2,a3,a4,a6] |
Generators |
[51625146857214:-2836533330575372:16251953437] |
Generators of the group modulo torsion |
j |
-671827436059837333504/99851859 |
j-invariant |
L |
4.3734369216747 |
L(r)(E,1)/r! |
Ω |
0.091670948551104 |
Real period |
R |
23.853996226715 |
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 |
81168cp1 60876i1 |
Quadratic twists by: -4 -3 |