Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7636c |
Isogeny class |
Conductor |
7636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1608 |
Modular degree for the optimal curve |
Δ |
-2535152 = -1 · 24 · 23 · 832 |
Discriminant |
Eigenvalues |
2- 1 2 4 -6 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18,77] |
[a1,a2,a3,a4,a6] |
j |
38112512/158447 |
j-invariant |
L |
3.6708338158273 |
L(r)(E,1)/r! |
Ω |
1.8354169079136 |
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 |
30544u1 122176l1 68724h1 |
Quadratic twists by: -4 8 -3 |