Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648bd |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-16095760128 = -1 · 28 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-6302] |
[a1,a2,a3,a4,a6] |
j |
-9826000/86247 |
j-invariant |
L |
2.094545338665 |
L(r)(E,1)/r! |
Ω |
0.52363633466625 |
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 |
37296i1 6216k1 |
Quadratic twists by: -4 -3 |