Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350a |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
283392 |
Modular degree for the optimal curve |
Δ |
-5105152000000000 = -1 · 218 · 59 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51625,5653125] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:2550:1] |
Generators of the group modulo torsion |
j |
-973861113148561/326729728000 |
j-invariant |
L |
5.1040845943068 |
L(r)(E,1)/r! |
Ω |
0.40687082836377 |
Real period |
R |
3.1361824432302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7670i1 |
Quadratic twists by: 5 |