Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bf |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1189801075796822016 = -1 · 211 · 324 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 11- 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1017760,398329556] |
[a1,a2,a3,a4,a6] |
Generators |
[-1066:16524:1] [230:13284:1] |
Generators of the group modulo torsion |
j |
-470484099871289042/4801302120177 |
j-invariant |
L |
12.696445244588 |
L(r)(E,1)/r! |
Ω |
0.27494669188071 |
Real period |
R |
0.48101920071011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368x1 98736ba1 |
Quadratic twists by: -4 -11 |