Atkin-Lehner |
2+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870v |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
3341362375000000 = 26 · 59 · 133 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 -6 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45152,2410816] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:2384:1] [-73:2344:1] |
Generators of the group modulo torsion |
j |
4633825340923813/1520875000000 |
j-invariant |
L |
5.1267394182688 |
L(r)(E,1)/r! |
Ω |
0.41191024206617 |
Real period |
R |
0.11524309080134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bf1 |
Quadratic twists by: 13 |