Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112v |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
-346253164121088 = -1 · 210 · 35 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8771,840515] |
[a1,a2,a3,a4,a6] |
Generators |
[1103:-36792:1] |
Generators of the group modulo torsion |
j |
72865436813312/338137855587 |
j-invariant |
L |
6.6714407131244 |
L(r)(E,1)/r! |
Ω |
0.38688310008268 |
Real period |
R |
0.86220368774936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112br1 12264f1 |
Quadratic twists by: -4 8 |