Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175h |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-96185546875 = -1 · 59 · 113 · 37 |
Discriminant |
Eigenvalues |
0 0 5- 1 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,250,-14844] |
[a1,a2,a3,a4,a6] |
j |
884736/49247 |
j-invariant |
L |
1.0205004956594 |
L(r)(E,1)/r! |
Ω |
0.51025024782969 |
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 |
91575bt1 10175j1 111925u1 |
Quadratic twists by: -3 5 -11 |