Atkin-Lehner |
2+ 3+ 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642d |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2647613509632 = 212 · 33 · 74 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3759,42669] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:2109:8] [-17:327:1] |
Generators of the group modulo torsion |
j |
217591492796523/98059759616 |
j-invariant |
L |
5.9365308680608 |
L(r)(E,1)/r! |
Ω |
0.72674943142826 |
Real period |
R |
2.0421518791338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96642bi1 |
Quadratic twists by: -3 |