Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992a |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-57929472 = -1 · 28 · 33 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,-378] |
[a1,a2,a3,a4,a6] |
j |
-949104/8381 |
j-invariant |
L |
1.6741105392251 |
L(r)(E,1)/r! |
Ω |
0.83705527097487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35496a1 70992b1 |
Quadratic twists by: -4 -3 |