Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bm |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6389280 |
Modular degree for the optimal curve |
Δ |
-5313565238261718750 = -1 · 2 · 3 · 510 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11805223,15611440256] |
[a1,a2,a3,a4,a6] |
j |
-26082839807821801/761718750 |
j-invariant |
L |
2.2489221676522 |
L(r)(E,1)/r! |
Ω |
0.22489226699929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710a1 |
Quadratic twists by: 17 |