Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bu |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
-71523648 = -1 · 26 · 37 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168,-990] |
[a1,a2,a3,a4,a6] |
Generators |
[21:72:1] |
Generators of the group modulo torsion |
j |
-8242408000/1117557 |
j-invariant |
L |
8.2770869475363 |
L(r)(E,1)/r! |
Ω |
0.65775355932245 |
Real period |
R |
1.7976960762987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112bl1 49056a1 |
Quadratic twists by: -4 8 |