Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1274o |
Isogeny class |
Conductor |
1274 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-1049193782 = -1 · 2 · 79 · 13 |
Discriminant |
Eigenvalues |
2- -3 4 7- 1 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,162,1299] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
2.1606627905145 |
L(r)(E,1)/r! |
Ω |
1.0803313952572 |
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 |
10192bm1 40768bb1 11466bh1 31850p1 |
Quadratic twists by: -4 8 -3 5 |