Atkin-Lehner |
3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953a |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-1256559438771 = -1 · 36 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
2 3+ -3 7+ 5 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2172,-65815] |
[a1,a2,a3,a4,a6] |
Generators |
[8580:91255:64] |
Generators of the group modulo torsion |
j |
-196661248/217971 |
j-invariant |
L |
7.2983351416619 |
L(r)(E,1)/r! |
Ω |
0.33510558678359 |
Real period |
R |
3.6298684302801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43953y1 |
Quadratic twists by: -7 |