Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29640g |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2442240 |
Modular degree for the optimal curve |
Δ |
-2232109089843750000 = -1 · 24 · 34 · 512 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75389660,251925710433] |
[a1,a2,a3,a4,a6] |
Generators |
[4936:9375:1] |
Generators of the group modulo torsion |
j |
-2961686524287311350789156096/139506818115234375 |
j-invariant |
L |
6.3557402404702 |
L(r)(E,1)/r! |
Ω |
0.19390063676068 |
Real period |
R |
0.34144100097315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280h1 88920ba1 |
Quadratic twists by: -4 -3 |