Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350b |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4798080 |
Modular degree for the optimal curve |
Δ |
-5.3455395604796E+21 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 -3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2555122,-3852316844] |
[a1,a2,a3,a4,a6] |
Generators |
[541002535:27517623792:148877] |
Generators of the group modulo torsion |
j |
-73793604288884347503585/213821582419185982592 |
j-invariant |
L |
1.3094175893936 |
L(r)(E,1)/r! |
Ω |
0.055272370189001 |
Real period |
R |
5.9225684773342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350bc1 |
Quadratic twists by: 5 |