Atkin-Lehner |
37+ |
Signs for the Atkin-Lehner involutions |
Class |
1369c |
Isogeny class |
Conductor |
1369 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36 |
Modular degree for the optimal curve |
Δ |
-1369 = -1 · 372 |
Discriminant |
Eigenvalues |
-1 0 -1 2 -2 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[1:0:1] |
Generators of the group modulo torsion |
j |
999 |
j-invariant |
L |
1.7150822417615 |
L(r)(E,1)/r! |
Ω |
2.6167663175593 |
Real period |
R |
0.65542048223901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21904f1 87616a1 12321d1 34225c1 |
Quadratic twists by: -4 8 -3 5 |