Atkin-Lehner |
2- 3- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918x |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
29006595072 = 210 · 36 · 72 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-821,-3635] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:68:1] [-25:40:1] |
Generators of the group modulo torsion |
j |
83855130633/39789568 |
j-invariant |
L |
14.408528229118 |
L(r)(E,1)/r! |
Ω |
0.93451174985194 |
Real period |
R |
0.77091209563397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11102a1 |
Quadratic twists by: -3 |