Atkin-Lehner |
2+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656b |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-5191072768 = -1 · 210 · 7 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2267,-41690] |
[a1,a2,a3,a4,a6] |
Generators |
[63:256:1] [78:506:1] |
Generators of the group modulo torsion |
j |
-1258282961604/5069407 |
j-invariant |
L |
6.8085099494992 |
L(r)(E,1)/r! |
Ω |
0.34586129542549 |
Real period |
R |
9.8428330078447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95312a1 |
Quadratic twists by: -4 |