Atkin-Lehner |
2+ 3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986l |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-8984938221589284864 = -1 · 211 · 317 · 7 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,513765,-26737371] |
[a1,a2,a3,a4,a6] |
Generators |
[357:-14394:1] |
Generators of the group modulo torsion |
j |
20572603352501513039/12325018136610816 |
j-invariant |
L |
3.1916935445386 |
L(r)(E,1)/r! |
Ω |
0.13478456269215 |
Real period |
R |
0.98666515246084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662v1 |
Quadratic twists by: -3 |