Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1694a |
Isogeny class |
Conductor |
1694 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-3001024334 = -1 · 2 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- -7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,361,235] |
[a1,a2,a3,a4,a6] |
j |
24167/14 |
j-invariant |
L |
0.85456301609019 |
L(r)(E,1)/r! |
Ω |
0.85456301609019 |
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 |
13552y1 54208k1 15246bj1 42350cg1 |
Quadratic twists by: -4 8 -3 5 |