Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962k |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-5689750071706624 = -1 · 210 · 72 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 11- -3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4033013,-3116394187] |
[a1,a2,a3,a4,a6] |
Generators |
[49386938:4819131475:4913] |
Generators of the group modulo torsion |
j |
-33843179482786377/26543104 |
j-invariant |
L |
5.2352551919946 |
L(r)(E,1)/r! |
Ω |
0.05326747712546 |
Real period |
R |
12.285299291687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962t1 |
Quadratic twists by: -11 |