Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792bj |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
802139634153357312 = 216 · 3 · 193 · 296 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 4 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-287585,-40731519] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:3040:1] |
Generators of the group modulo torsion |
j |
40136914388511076/12239679476217 |
j-invariant |
L |
3.1341109858461 |
L(r)(E,1)/r! |
Ω |
0.21104978168235 |
Real period |
R |
2.4750171710634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999494851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792p1 26448f1 |
Quadratic twists by: -4 8 |