Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bq |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-3869497098240000000 = -1 · 234 · 3 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143199,-92363199] |
[a1,a2,a3,a4,a6] |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
0.24383741400796 |
L(r)(E,1)/r! |
Ω |
0.12191870700474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760ba1 7440y1 89280fh1 |
Quadratic twists by: -4 8 -3 |