Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1274n |
Isogeny class |
Conductor |
1274 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
756 |
Modular degree for the optimal curve |
Δ |
-195767936 = -1 · 27 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3 1 7- -2 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132,-857] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
4.7730866846248 |
L(r)(E,1)/r! |
Ω |
0.68186952637497 |
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 |
10192bn1 40768bc1 11466w1 31850q1 |
Quadratic twists by: -4 8 -3 5 |