Atkin-Lehner |
2- 3- 13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38454j |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-40100170825728 = -1 · 220 · 33 · 132 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,277,304689] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:433:1] |
Generators of the group modulo torsion |
j |
2349984647375/40100170825728 |
j-invariant |
L |
10.796015243316 |
L(r)(E,1)/r! |
Ω |
0.50959147769112 |
Real period |
R |
0.35309379231342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362b1 |
Quadratic twists by: -3 |