Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080g |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-22657600 = -1 · 26 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37,-212] |
[a1,a2,a3,a4,a6] |
j |
87528384/354025 |
j-invariant |
L |
2.1697503882528 |
L(r)(E,1)/r! |
Ω |
1.0848751941232 |
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 |
38080a1 19040e2 |
Quadratic twists by: -4 8 |