Atkin-Lehner |
2+ 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986h |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-43651062 = -1 · 2 · 36 · 72 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141,755] |
[a1,a2,a3,a4,a6] |
Generators |
[13:25:1] |
Generators of the group modulo torsion |
j |
-426957777/59878 |
j-invariant |
L |
4.4223455252478 |
L(r)(E,1)/r! |
Ω |
1.9615984618779 |
Real period |
R |
0.56361503268711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554j1 |
Quadratic twists by: -3 |