Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270m |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-361360648990720 = -1 · 212 · 5 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15841,-501555] |
[a1,a2,a3,a4,a6] |
Generators |
[6410555472:23592175881:207474688] |
Generators of the group modulo torsion |
j |
18212205591/14970880 |
j-invariant |
L |
4.4201794335004 |
L(r)(E,1)/r! |
Ω |
0.29764059814006 |
Real period |
R |
14.850727430403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310f1 |
Quadratic twists by: 17 |