Atkin-Lehner |
3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10251b |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1948665370441059 = -1 · 39 · 173 · 674 |
Discriminant |
Eigenvalues |
2 3+ -1 -2 5 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-216243,38762705] |
[a1,a2,a3,a4,a6] |
j |
-56814422047469568/99002457473 |
j-invariant |
L |
3.7378326267995 |
L(r)(E,1)/r! |
Ω |
0.46722907834994 |
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 |
10251d1 |
Quadratic twists by: -3 |