Atkin-Lehner |
2+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93632c |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-1688907049984 = -1 · 210 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12397,530835] |
[a1,a2,a3,a4,a6] |
Generators |
[46:245:1] |
Generators of the group modulo torsion |
j |
-205782571927552/1649323291 |
j-invariant |
L |
5.231936070985 |
L(r)(E,1)/r! |
Ω |
0.84499319969359 |
Real period |
R |
3.0958450707497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632bd1 11704a1 |
Quadratic twists by: -4 8 |